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Finding the Third Proportional to 712,940 and 1,037,306

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Solution

The third proportional to 712,940 and 1,037,306 is: 1,509,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,940 : 1,037,306 = 1,037,306 : x
  2. Step 2: Convert to fraction form
    712,940/1,037,306 = 1,037,306/x
  3. Step 3: Cross multiply
    712,940x = 1,037,306 × 1,037,306
  4. Step 4: Simplify right side
    712,940x = 1,076,003,737,636
  5. Step 5: Solve for x
    x = 1,076,003,737,636/712,940
  6. Step 6: Final answer
    x = 1,509,248.66

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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.