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Finding the Third Proportional to 1,587,029 and 2,413,763

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Solution

The third proportional to 1,587,029 and 2,413,763 is: 3,671,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,029 : 2,413,763 = 2,413,763 : x
  2. Step 2: Convert to fraction form
    1,587,029/2,413,763 = 2,413,763/x
  3. Step 3: Cross multiply
    1,587,029x = 2,413,763 × 2,413,763
  4. Step 4: Simplify right side
    1,587,029x = 5,826,251,820,169
  5. Step 5: Solve for x
    x = 5,826,251,820,169/1,587,029
  6. Step 6: Final answer
    x = 3,671,169.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.