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Finding the Third Proportional to 736,110 and 1,115,209

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Solution

The third proportional to 736,110 and 1,115,209 is: 1,689,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,110 : 1,115,209 = 1,115,209 : x
  2. Step 2: Convert to fraction form
    736,110/1,115,209 = 1,115,209/x
  3. Step 3: Cross multiply
    736,110x = 1,115,209 × 1,115,209
  4. Step 4: Simplify right side
    736,110x = 1,243,691,113,681
  5. Step 5: Solve for x
    x = 1,243,691,113,681/736,110
  6. Step 6: Final answer
    x = 1,689,545.20

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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.