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Finding the Third Proportional to 1,897,637.52 and 4,132,209.73

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Solution

The third proportional to 1,897,637.52 and 4,132,209.73 is: 8,998,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,637.52 : 4,132,209.73 = 4,132,209.73 : x
  2. Step 2: Convert to fraction form
    1,897,637.52/4,132,209.73 = 4,132,209.73/x
  3. Step 3: Cross multiply
    1,897,637.52x = 4,132,209.73 × 4,132,209.73
  4. Step 4: Simplify right side
    1,897,637.52x = 17,075,157,224,297.73
  5. Step 5: Solve for x
    x = 17,075,157,224,297.73/1,897,637.52
  6. Step 6: Final answer
    x = 8,998,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.