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Finding the Third Proportional to 531,074 and 1,146,664

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Solution

The third proportional to 531,074 and 1,146,664 is: 2,475,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,074 : 1,146,664 = 1,146,664 : x
  2. Step 2: Convert to fraction form
    531,074/1,146,664 = 1,146,664/x
  3. Step 3: Cross multiply
    531,074x = 1,146,664 × 1,146,664
  4. Step 4: Simplify right side
    531,074x = 1,314,838,328,896
  5. Step 5: Solve for x
    x = 1,314,838,328,896/531,074
  6. Step 6: Final answer
    x = 2,475,810.02

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