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Finding the Third Proportional to 706,540 and 1,547,441

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Solution

The third proportional to 706,540 and 1,547,441 is: 3,389,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,540 : 1,547,441 = 1,547,441 : x
  2. Step 2: Convert to fraction form
    706,540/1,547,441 = 1,547,441/x
  3. Step 3: Cross multiply
    706,540x = 1,547,441 × 1,547,441
  4. Step 4: Simplify right side
    706,540x = 2,394,573,648,481
  5. Step 5: Solve for x
    x = 2,394,573,648,481/706,540
  6. Step 6: Final answer
    x = 3,389,155.11

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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.