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Finding the Third Proportional to 762,283 and 1,657,421

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Solution

The third proportional to 762,283 and 1,657,421 is: 3,603,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,283 : 1,657,421 = 1,657,421 : x
  2. Step 2: Convert to fraction form
    762,283/1,657,421 = 1,657,421/x
  3. Step 3: Cross multiply
    762,283x = 1,657,421 × 1,657,421
  4. Step 4: Simplify right side
    762,283x = 2,747,044,371,241
  5. Step 5: Solve for x
    x = 2,747,044,371,241/762,283
  6. Step 6: Final answer
    x = 3,603,706.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.