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Finding the Third Proportional to 537,386 and 1,158,686

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Solution

The third proportional to 537,386 and 1,158,686 is: 2,498,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,386 : 1,158,686 = 1,158,686 : x
  2. Step 2: Convert to fraction form
    537,386/1,158,686 = 1,158,686/x
  3. Step 3: Cross multiply
    537,386x = 1,158,686 × 1,158,686
  4. Step 4: Simplify right side
    537,386x = 1,342,553,246,596
  5. Step 5: Solve for x
    x = 1,342,553,246,596/537,386
  6. Step 6: Final answer
    x = 2,498,303.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.