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Finding the Third Proportional to 651,908 and 1,037,315

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Solution

The third proportional to 651,908 and 1,037,315 is: 1,650,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,908 : 1,037,315 = 1,037,315 : x
  2. Step 2: Convert to fraction form
    651,908/1,037,315 = 1,037,315/x
  3. Step 3: Cross multiply
    651,908x = 1,037,315 × 1,037,315
  4. Step 4: Simplify right side
    651,908x = 1,076,022,409,225
  5. Step 5: Solve for x
    x = 1,076,022,409,225/651,908
  6. Step 6: Final answer
    x = 1,650,574.02

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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.