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Finding the Third Proportional to 651,962 and 1,037,397

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Solution

The third proportional to 651,962 and 1,037,397 is: 1,650,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,962 : 1,037,397 = 1,037,397 : x
  2. Step 2: Convert to fraction form
    651,962/1,037,397 = 1,037,397/x
  3. Step 3: Cross multiply
    651,962x = 1,037,397 × 1,037,397
  4. Step 4: Simplify right side
    651,962x = 1,076,192,535,609
  5. Step 5: Solve for x
    x = 1,076,192,535,609/651,962
  6. Step 6: Final answer
    x = 1,650,698.25

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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.