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Finding the Third Proportional to 713,016 and 1,037,340

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Solution

The third proportional to 713,016 and 1,037,340 is: 1,509,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,016 : 1,037,340 = 1,037,340 : x
  2. Step 2: Convert to fraction form
    713,016/1,037,340 = 1,037,340/x
  3. Step 3: Cross multiply
    713,016x = 1,037,340 × 1,037,340
  4. Step 4: Simplify right side
    713,016x = 1,076,074,275,600
  5. Step 5: Solve for x
    x = 1,076,074,275,600/713,016
  6. Step 6: Final answer
    x = 1,509,186.72

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.