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Finding the Third Proportional to 532,558 and 1,158,428

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Solution

The third proportional to 532,558 and 1,158,428 is: 2,519,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,558 : 1,158,428 = 1,158,428 : x
  2. Step 2: Convert to fraction form
    532,558/1,158,428 = 1,158,428/x
  3. Step 3: Cross multiply
    532,558x = 1,158,428 × 1,158,428
  4. Step 4: Simplify right side
    532,558x = 1,341,955,431,184
  5. Step 5: Solve for x
    x = 1,341,955,431,184/532,558
  6. Step 6: Final answer
    x = 2,519,829.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.