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Finding the Third Proportional to 371,910 and 812,940

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Solution

The third proportional to 371,910 and 812,940 is: 1,776,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,910 : 812,940 = 812,940 : x
  2. Step 2: Convert to fraction form
    371,910/812,940 = 812,940/x
  3. Step 3: Cross multiply
    371,910x = 812,940 × 812,940
  4. Step 4: Simplify right side
    371,910x = 660,871,443,600
  5. Step 5: Solve for x
    x = 660,871,443,600/371,910
  6. Step 6: Final answer
    x = 1,776,966.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.