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Finding the Third Proportional to 3,531,972 and 5,435,748

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Solution

The third proportional to 3,531,972 and 5,435,748 is: 8,365,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531,972 : 5,435,748 = 5,435,748 : x
  2. Step 2: Convert to fraction form
    3,531,972/5,435,748 = 5,435,748/x
  3. Step 3: Cross multiply
    3,531,972x = 5,435,748 × 5,435,748
  4. Step 4: Simplify right side
    3,531,972x = 29,547,356,319,504
  5. Step 5: Solve for x
    x = 29,547,356,319,504/3,531,972
  6. Step 6: Final answer
    x = 8,365,682.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.