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Finding the Third Proportional to 1,017,390.38 and 1,574,618.48

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Solution

The third proportional to 1,017,390.38 and 1,574,618.48 is: 2,437,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,390.38 : 1,574,618.48 = 1,574,618.48 : x
  2. Step 2: Convert to fraction form
    1,017,390.38/1,574,618.48 = 1,574,618.48/x
  3. Step 3: Cross multiply
    1,017,390.38x = 1,574,618.48 × 1,574,618.48
  4. Step 4: Simplify right side
    1,017,390.38x = 2,479,423,371,335.42
  5. Step 5: Solve for x
    x = 2,479,423,371,335.42/1,017,390.38
  6. Step 6: Final answer
    x = 2,437,042.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.