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Finding the Third Proportional to 666,984 and 1,460,460

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Solution

The third proportional to 666,984 and 1,460,460 is: 3,197,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,984 : 1,460,460 = 1,460,460 : x
  2. Step 2: Convert to fraction form
    666,984/1,460,460 = 1,460,460/x
  3. Step 3: Cross multiply
    666,984x = 1,460,460 × 1,460,460
  4. Step 4: Simplify right side
    666,984x = 2,132,943,411,600
  5. Step 5: Solve for x
    x = 2,132,943,411,600/666,984
  6. Step 6: Final answer
    x = 3,197,892.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.