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Finding the Third Proportional to 811,461 and 1,762,890

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Solution

The third proportional to 811,461 and 1,762,890 is: 3,829,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,461 : 1,762,890 = 1,762,890 : x
  2. Step 2: Convert to fraction form
    811,461/1,762,890 = 1,762,890/x
  3. Step 3: Cross multiply
    811,461x = 1,762,890 × 1,762,890
  4. Step 4: Simplify right side
    811,461x = 3,107,781,152,100
  5. Step 5: Solve for x
    x = 3,107,781,152,100/811,461
  6. Step 6: Final answer
    x = 3,829,858.92

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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.