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Finding the Third Proportional to 651,964 and 1,037,400

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Solution

The third proportional to 651,964 and 1,037,400 is: 1,650,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,964 : 1,037,400 = 1,037,400 : x
  2. Step 2: Convert to fraction form
    651,964/1,037,400 = 1,037,400/x
  3. Step 3: Cross multiply
    651,964x = 1,037,400 × 1,037,400
  4. Step 4: Simplify right side
    651,964x = 1,076,198,760,000
  5. Step 5: Solve for x
    x = 1,076,198,760,000/651,964
  6. Step 6: Final answer
    x = 1,650,702.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.