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Finding the Third Proportional to 809,390 and 1,748,461

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Solution

The third proportional to 809,390 and 1,748,461 is: 3,777,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,390 : 1,748,461 = 1,748,461 : x
  2. Step 2: Convert to fraction form
    809,390/1,748,461 = 1,748,461/x
  3. Step 3: Cross multiply
    809,390x = 1,748,461 × 1,748,461
  4. Step 4: Simplify right side
    809,390x = 3,057,115,868,521
  5. Step 5: Solve for x
    x = 3,057,115,868,521/809,390
  6. Step 6: Final answer
    x = 3,777,061.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.