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Finding the Third Proportional to 477,854 and 1,026,536

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Solution

The third proportional to 477,854 and 1,026,536 is: 2,205,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,854 : 1,026,536 = 1,026,536 : x
  2. Step 2: Convert to fraction form
    477,854/1,026,536 = 1,026,536/x
  3. Step 3: Cross multiply
    477,854x = 1,026,536 × 1,026,536
  4. Step 4: Simplify right side
    477,854x = 1,053,776,159,296
  5. Step 5: Solve for x
    x = 1,053,776,159,296/477,854
  6. Step 6: Final answer
    x = 2,205,226.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.