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Finding the Third Proportional to 747,846 and 1,160,178

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Solution

The third proportional to 747,846 and 1,160,178 is: 1,799,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,846 : 1,160,178 = 1,160,178 : x
  2. Step 2: Convert to fraction form
    747,846/1,160,178 = 1,160,178/x
  3. Step 3: Cross multiply
    747,846x = 1,160,178 × 1,160,178
  4. Step 4: Simplify right side
    747,846x = 1,346,012,991,684
  5. Step 5: Solve for x
    x = 1,346,012,991,684/747,846
  6. Step 6: Final answer
    x = 1,799,853.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.