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Finding the Third Proportional to 537,276 and 1,158,486

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Solution

The third proportional to 537,276 and 1,158,486 is: 2,497,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,276 : 1,158,486 = 1,158,486 : x
  2. Step 2: Convert to fraction form
    537,276/1,158,486 = 1,158,486/x
  3. Step 3: Cross multiply
    537,276x = 1,158,486 × 1,158,486
  4. Step 4: Simplify right side
    537,276x = 1,342,089,812,196
  5. Step 5: Solve for x
    x = 1,342,089,812,196/537,276
  6. Step 6: Final answer
    x = 2,497,952.29

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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.