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Finding the Third Proportional to 586,112 and 1,125,536

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Solution

The third proportional to 586,112 and 1,125,536 is: 2,161,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,112 : 1,125,536 = 1,125,536 : x
  2. Step 2: Convert to fraction form
    586,112/1,125,536 = 1,125,536/x
  3. Step 3: Cross multiply
    586,112x = 1,125,536 × 1,125,536
  4. Step 4: Simplify right side
    586,112x = 1,266,831,287,296
  5. Step 5: Solve for x
    x = 1,266,831,287,296/586,112
  6. Step 6: Final answer
    x = 2,161,415.03

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.