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Finding the Third Proportional to 981,570 and 1,466,490

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Solution

The third proportional to 981,570 and 1,466,490 is: 2,190,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,570 : 1,466,490 = 1,466,490 : x
  2. Step 2: Convert to fraction form
    981,570/1,466,490 = 1,466,490/x
  3. Step 3: Cross multiply
    981,570x = 1,466,490 × 1,466,490
  4. Step 4: Simplify right side
    981,570x = 2,150,592,920,100
  5. Step 5: Solve for x
    x = 2,150,592,920,100/981,570
  6. Step 6: Final answer
    x = 2,190,972.54

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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.