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Finding the Third Proportional to 651,938 and 1,037,307

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Solution

The third proportional to 651,938 and 1,037,307 is: 1,650,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,938 : 1,037,307 = 1,037,307 : x
  2. Step 2: Convert to fraction form
    651,938/1,037,307 = 1,037,307/x
  3. Step 3: Cross multiply
    651,938x = 1,037,307 × 1,037,307
  4. Step 4: Simplify right side
    651,938x = 1,076,005,812,249
  5. Step 5: Solve for x
    x = 1,076,005,812,249/651,938
  6. Step 6: Final answer
    x = 1,650,472.61

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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.