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Finding the Third Proportional to 530,068 and 1,153,448

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Solution

The third proportional to 530,068 and 1,153,448 is: 2,509,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,068 : 1,153,448 = 1,153,448 : x
  2. Step 2: Convert to fraction form
    530,068/1,153,448 = 1,153,448/x
  3. Step 3: Cross multiply
    530,068x = 1,153,448 × 1,153,448
  4. Step 4: Simplify right side
    530,068x = 1,330,442,288,704
  5. Step 5: Solve for x
    x = 1,330,442,288,704/530,068
  6. Step 6: Final answer
    x = 2,509,946.44

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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.