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Finding the Third Proportional to 531,072 and 1,146,660

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Solution

The third proportional to 531,072 and 1,146,660 is: 2,475,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,072 : 1,146,660 = 1,146,660 : x
  2. Step 2: Convert to fraction form
    531,072/1,146,660 = 1,146,660/x
  3. Step 3: Cross multiply
    531,072x = 1,146,660 × 1,146,660
  4. Step 4: Simplify right side
    531,072x = 1,314,829,155,600
  5. Step 5: Solve for x
    x = 1,314,829,155,600/531,072
  6. Step 6: Final answer
    x = 2,475,802.07

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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.