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Finding the Third Proportional to 601,088,239.13 and 919,507,987.13

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Solution

The third proportional to 601,088,239.13 and 919,507,987.13 is: 1,406,607,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,088,239.13 : 919,507,987.13 = 919,507,987.13 : x
  2. Step 2: Convert to fraction form
    601,088,239.13/919,507,987.13 = 919,507,987.13/x
  3. Step 3: Cross multiply
    601,088,239.13x = 919,507,987.13 × 919,507,987.13
  4. Step 4: Simplify right side
    601,088,239.13x = 845,494,938,386,669,184
  5. Step 5: Solve for x
    x = 845,494,938,386,669,184/601,088,239.13
  6. Step 6: Final answer
    x = 1,406,607,022.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.