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Finding the Third Proportional to 560,871 and 1,216,377

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Solution

The third proportional to 560,871 and 1,216,377 is: 2,637,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,871 : 1,216,377 = 1,216,377 : x
  2. Step 2: Convert to fraction form
    560,871/1,216,377 = 1,216,377/x
  3. Step 3: Cross multiply
    560,871x = 1,216,377 × 1,216,377
  4. Step 4: Simplify right side
    560,871x = 1,479,573,006,129
  5. Step 5: Solve for x
    x = 1,479,573,006,129/560,871
  6. Step 6: Final answer
    x = 2,637,991.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.