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Finding the Third Proportional to 2,437,065.51 and 3,406,991.47

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Solution

The third proportional to 2,437,065.51 and 3,406,991.47 is: 4,762,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437,065.51 : 3,406,991.47 = 3,406,991.47 : x
  2. Step 2: Convert to fraction form
    2,437,065.51/3,406,991.47 = 3,406,991.47/x
  3. Step 3: Cross multiply
    2,437,065.51x = 3,406,991.47 × 3,406,991.47
  4. Step 4: Simplify right side
    2,437,065.51x = 11,607,590,854,827.57
  5. Step 5: Solve for x
    x = 11,607,590,854,827.57/2,437,065.51
  6. Step 6: Final answer
    x = 4,762,937.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.