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Finding the Third Proportional to 657,364 and 1,013,894

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Solution

The third proportional to 657,364 and 1,013,894 is: 1,563,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,364 : 1,013,894 = 1,013,894 : x
  2. Step 2: Convert to fraction form
    657,364/1,013,894 = 1,013,894/x
  3. Step 3: Cross multiply
    657,364x = 1,013,894 × 1,013,894
  4. Step 4: Simplify right side
    657,364x = 1,027,981,043,236
  5. Step 5: Solve for x
    x = 1,027,981,043,236/657,364
  6. Step 6: Final answer
    x = 1,563,792.73

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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.