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Finding the Third Proportional to 706,698 and 1,547,972

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Solution

The third proportional to 706,698 and 1,547,972 is: 3,390,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,698 : 1,547,972 = 1,547,972 : x
  2. Step 2: Convert to fraction form
    706,698/1,547,972 = 1,547,972/x
  3. Step 3: Cross multiply
    706,698x = 1,547,972 × 1,547,972
  4. Step 4: Simplify right side
    706,698x = 2,396,217,312,784
  5. Step 5: Solve for x
    x = 2,396,217,312,784/706,698
  6. Step 6: Final answer
    x = 3,390,723.21

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Why These Related Problems?

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