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Finding the Third Proportional to 651,940 and 1,037,310

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Solution

The third proportional to 651,940 and 1,037,310 is: 1,650,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,940 : 1,037,310 = 1,037,310 : x
  2. Step 2: Convert to fraction form
    651,940/1,037,310 = 1,037,310/x
  3. Step 3: Cross multiply
    651,940x = 1,037,310 × 1,037,310
  4. Step 4: Simplify right side
    651,940x = 1,076,012,036,100
  5. Step 5: Solve for x
    x = 1,076,012,036,100/651,940
  6. Step 6: Final answer
    x = 1,650,477.09

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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.