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Finding the Third Proportional to 754,916 and 1,158,582

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Solution

The third proportional to 754,916 and 1,158,582 is: 1,778,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,916 : 1,158,582 = 1,158,582 : x
  2. Step 2: Convert to fraction form
    754,916/1,158,582 = 1,158,582/x
  3. Step 3: Cross multiply
    754,916x = 1,158,582 × 1,158,582
  4. Step 4: Simplify right side
    754,916x = 1,342,312,250,724
  5. Step 5: Solve for x
    x = 1,342,312,250,724/754,916
  6. Step 6: Final answer
    x = 1,778,094.85

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