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Finding the Third Proportional to 574,984 and 1,249,424

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Solution

The third proportional to 574,984 and 1,249,424 is: 2,714,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,984 : 1,249,424 = 1,249,424 : x
  2. Step 2: Convert to fraction form
    574,984/1,249,424 = 1,249,424/x
  3. Step 3: Cross multiply
    574,984x = 1,249,424 × 1,249,424
  4. Step 4: Simplify right side
    574,984x = 1,561,060,331,776
  5. Step 5: Solve for x
    x = 1,561,060,331,776/574,984
  6. Step 6: Final answer
    x = 2,714,963.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.