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Finding the Third Proportional to 858,029 and 1,282,507

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Solution

The third proportional to 858,029 and 1,282,507 is: 1,916,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,029 : 1,282,507 = 1,282,507 : x
  2. Step 2: Convert to fraction form
    858,029/1,282,507 = 1,282,507/x
  3. Step 3: Cross multiply
    858,029x = 1,282,507 × 1,282,507
  4. Step 4: Simplify right side
    858,029x = 1,644,824,205,049
  5. Step 5: Solve for x
    x = 1,644,824,205,049/858,029
  6. Step 6: Final answer
    x = 1,916,979.74

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Why These Related Problems?

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