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Finding the Third Proportional to 651,960 and 1,037,394

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Solution

The third proportional to 651,960 and 1,037,394 is: 1,650,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,960 : 1,037,394 = 1,037,394 : x
  2. Step 2: Convert to fraction form
    651,960/1,037,394 = 1,037,394/x
  3. Step 3: Cross multiply
    651,960x = 1,037,394 × 1,037,394
  4. Step 4: Simplify right side
    651,960x = 1,076,186,311,236
  5. Step 5: Solve for x
    x = 1,076,186,311,236/651,960
  6. Step 6: Final answer
    x = 1,650,693.77

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Why These Related Problems?

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