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Finding the Third Proportional to 712,278 and 1,564,524

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Solution

The third proportional to 712,278 and 1,564,524 is: 3,436,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,278 : 1,564,524 = 1,564,524 : x
  2. Step 2: Convert to fraction form
    712,278/1,564,524 = 1,564,524/x
  3. Step 3: Cross multiply
    712,278x = 1,564,524 × 1,564,524
  4. Step 4: Simplify right side
    712,278x = 2,447,735,346,576
  5. Step 5: Solve for x
    x = 2,447,735,346,576/712,278
  6. Step 6: Final answer
    x = 3,436,488.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.