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Finding the Third Proportional to 656,180 and 1,013,348

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Solution

The third proportional to 656,180 and 1,013,348 is: 1,564,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,180 : 1,013,348 = 1,013,348 : x
  2. Step 2: Convert to fraction form
    656,180/1,013,348 = 1,013,348/x
  3. Step 3: Cross multiply
    656,180x = 1,013,348 × 1,013,348
  4. Step 4: Simplify right side
    656,180x = 1,026,874,169,104
  5. Step 5: Solve for x
    x = 1,026,874,169,104/656,180
  6. Step 6: Final answer
    x = 1,564,927.56

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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.