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Finding the Third Proportional to 518,772 and 1,117,572

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Solution

The third proportional to 518,772 and 1,117,572 is: 2,407,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,772 : 1,117,572 = 1,117,572 : x
  2. Step 2: Convert to fraction form
    518,772/1,117,572 = 1,117,572/x
  3. Step 3: Cross multiply
    518,772x = 1,117,572 × 1,117,572
  4. Step 4: Simplify right side
    518,772x = 1,248,967,175,184
  5. Step 5: Solve for x
    x = 1,248,967,175,184/518,772
  6. Step 6: Final answer
    x = 2,407,545.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.