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Finding the Third Proportional to 590,311,610 and 1,291,827,796

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Solution

The third proportional to 590,311,610 and 1,291,827,796 is: 2,827,013,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,311,610 : 1,291,827,796 = 1,291,827,796 : x
  2. Step 2: Convert to fraction form
    590,311,610/1,291,827,796 = 1,291,827,796/x
  3. Step 3: Cross multiply
    590,311,610x = 1,291,827,796 × 1,291,827,796
  4. Step 4: Simplify right side
    590,311,610x = 1,668,819,054,518,217,728
  5. Step 5: Solve for x
    x = 1,668,819,054,518,217,728/590,311,610
  6. Step 6: Final answer
    x = 2,827,013,777.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.