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Finding the Third Proportional to 932,397 and 1,439,784

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Solution

The third proportional to 932,397 and 1,439,784 is: 2,223,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,397 : 1,439,784 = 1,439,784 : x
  2. Step 2: Convert to fraction form
    932,397/1,439,784 = 1,439,784/x
  3. Step 3: Cross multiply
    932,397x = 1,439,784 × 1,439,784
  4. Step 4: Simplify right side
    932,397x = 2,072,977,966,656
  5. Step 5: Solve for x
    x = 2,072,977,966,656/932,397
  6. Step 6: Final answer
    x = 2,223,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.