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Finding the Third Proportional to 721,478 and 1,142,380

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Solution

The third proportional to 721,478 and 1,142,380 is: 1,808,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,478 : 1,142,380 = 1,142,380 : x
  2. Step 2: Convert to fraction form
    721,478/1,142,380 = 1,142,380/x
  3. Step 3: Cross multiply
    721,478x = 1,142,380 × 1,142,380
  4. Step 4: Simplify right side
    721,478x = 1,305,032,064,400
  5. Step 5: Solve for x
    x = 1,305,032,064,400/721,478
  6. Step 6: Final answer
    x = 1,808,831.40

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.