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Finding the Third Proportional to 858,490 and 1,165,943

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Solution

The third proportional to 858,490 and 1,165,943 is: 1,583,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,490 : 1,165,943 = 1,165,943 : x
  2. Step 2: Convert to fraction form
    858,490/1,165,943 = 1,165,943/x
  3. Step 3: Cross multiply
    858,490x = 1,165,943 × 1,165,943
  4. Step 4: Simplify right side
    858,490x = 1,359,423,079,249
  5. Step 5: Solve for x
    x = 1,359,423,079,249/858,490
  6. Step 6: Final answer
    x = 1,583,504.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.