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Finding the Third Proportional to 1,240,123.50 and 1,755,266.63

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Solution

The third proportional to 1,240,123.50 and 1,755,266.63 is: 2,484,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,123.50 : 1,755,266.63 = 1,755,266.63 : x
  2. Step 2: Convert to fraction form
    1,240,123.50/1,755,266.63 = 1,755,266.63/x
  3. Step 3: Cross multiply
    1,240,123.50x = 1,755,266.63 × 1,755,266.63
  4. Step 4: Simplify right side
    1,240,123.50x = 3,080,960,924,838.89
  5. Step 5: Solve for x
    x = 3,080,960,924,838.89/1,240,123.50
  6. Step 6: Final answer
    x = 2,484,398.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.