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Finding the Third Proportional to 532,458 and 1,158,210

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Solution

The third proportional to 532,458 and 1,158,210 is: 2,519,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,458 : 1,158,210 = 1,158,210 : x
  2. Step 2: Convert to fraction form
    532,458/1,158,210 = 1,158,210/x
  3. Step 3: Cross multiply
    532,458x = 1,158,210 × 1,158,210
  4. Step 4: Simplify right side
    532,458x = 1,341,450,404,100
  5. Step 5: Solve for x
    x = 1,341,450,404,100/532,458
  6. Step 6: Final answer
    x = 2,519,354.40

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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.