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Finding the Third Proportional to 710,020 and 1,544,456

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Solution

The third proportional to 710,020 and 1,544,456 is: 3,359,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,020 : 1,544,456 = 1,544,456 : x
  2. Step 2: Convert to fraction form
    710,020/1,544,456 = 1,544,456/x
  3. Step 3: Cross multiply
    710,020x = 1,544,456 × 1,544,456
  4. Step 4: Simplify right side
    710,020x = 2,385,344,335,936
  5. Step 5: Solve for x
    x = 2,385,344,335,936/710,020
  6. Step 6: Final answer
    x = 3,359,545.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.