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Finding the Third Proportional to 563,470 and 1,252,924

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Solution

The third proportional to 563,470 and 1,252,924 is: 2,785,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,470 : 1,252,924 = 1,252,924 : x
  2. Step 2: Convert to fraction form
    563,470/1,252,924 = 1,252,924/x
  3. Step 3: Cross multiply
    563,470x = 1,252,924 × 1,252,924
  4. Step 4: Simplify right side
    563,470x = 1,569,818,549,776
  5. Step 5: Solve for x
    x = 1,569,818,549,776/563,470
  6. Step 6: Final answer
    x = 2,785,984.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.