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Finding the Third Proportional to 531,076 and 1,146,668

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Solution

The third proportional to 531,076 and 1,146,668 is: 2,475,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,076 : 1,146,668 = 1,146,668 : x
  2. Step 2: Convert to fraction form
    531,076/1,146,668 = 1,146,668/x
  3. Step 3: Cross multiply
    531,076x = 1,146,668 × 1,146,668
  4. Step 4: Simplify right side
    531,076x = 1,314,847,502,224
  5. Step 5: Solve for x
    x = 1,314,847,502,224/531,076
  6. Step 6: Final answer
    x = 2,475,817.97

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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.