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Finding the Third Proportional to 971,354 and 1,447,068

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Solution

The third proportional to 971,354 and 1,447,068 is: 2,155,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,354 : 1,447,068 = 1,447,068 : x
  2. Step 2: Convert to fraction form
    971,354/1,447,068 = 1,447,068/x
  3. Step 3: Cross multiply
    971,354x = 1,447,068 × 1,447,068
  4. Step 4: Simplify right side
    971,354x = 2,094,005,796,624
  5. Step 5: Solve for x
    x = 2,094,005,796,624/971,354
  6. Step 6: Final answer
    x = 2,155,759.69

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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.