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Finding the Third Proportional to 971,352 and 1,447,065

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Solution

The third proportional to 971,352 and 1,447,065 is: 2,155,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,352 : 1,447,065 = 1,447,065 : x
  2. Step 2: Convert to fraction form
    971,352/1,447,065 = 1,447,065/x
  3. Step 3: Cross multiply
    971,352x = 1,447,065 × 1,447,065
  4. Step 4: Simplify right side
    971,352x = 2,093,997,114,225
  5. Step 5: Solve for x
    x = 2,093,997,114,225/971,352
  6. Step 6: Final answer
    x = 2,155,755.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.