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Finding the Third Proportional to 1,024,745 and 1,637,053.50

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Solution

The third proportional to 1,024,745 and 1,637,053.50 is: 2,615,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,745 : 1,637,053.50 = 1,637,053.50 : x
  2. Step 2: Convert to fraction form
    1,024,745/1,637,053.50 = 1,637,053.50/x
  3. Step 3: Cross multiply
    1,024,745x = 1,637,053.50 × 1,637,053.50
  4. Step 4: Simplify right side
    1,024,745x = 2,679,944,161,862.25
  5. Step 5: Solve for x
    x = 2,679,944,161,862.25/1,024,745
  6. Step 6: Final answer
    x = 2,615,230.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.