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Finding the Third Proportional to 858,534.19 and 1,359,152.16

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Solution

The third proportional to 858,534.19 and 1,359,152.16 is: 2,151,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,534.19 : 1,359,152.16 = 1,359,152.16 : x
  2. Step 2: Convert to fraction form
    858,534.19/1,359,152.16 = 1,359,152.16/x
  3. Step 3: Cross multiply
    858,534.19x = 1,359,152.16 × 1,359,152.16
  4. Step 4: Simplify right side
    858,534.19x = 1,847,294,583,839.02
  5. Step 5: Solve for x
    x = 1,847,294,583,839.02/858,534.19
  6. Step 6: Final answer
    x = 2,151,684.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.