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Finding the Third Proportional to 727,065 and 1,110,282

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Solution

The third proportional to 727,065 and 1,110,282 is: 1,695,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,065 : 1,110,282 = 1,110,282 : x
  2. Step 2: Convert to fraction form
    727,065/1,110,282 = 1,110,282/x
  3. Step 3: Cross multiply
    727,065x = 1,110,282 × 1,110,282
  4. Step 4: Simplify right side
    727,065x = 1,232,726,119,524
  5. Step 5: Solve for x
    x = 1,232,726,119,524/727,065
  6. Step 6: Final answer
    x = 1,695,482.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.