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Finding the Third Proportional to 771,461 and 1,580,506

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Solution

The third proportional to 771,461 and 1,580,506 is: 3,238,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,461 : 1,580,506 = 1,580,506 : x
  2. Step 2: Convert to fraction form
    771,461/1,580,506 = 1,580,506/x
  3. Step 3: Cross multiply
    771,461x = 1,580,506 × 1,580,506
  4. Step 4: Simplify right side
    771,461x = 2,497,999,216,036
  5. Step 5: Solve for x
    x = 2,497,999,216,036/771,461
  6. Step 6: Final answer
    x = 3,238,011.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.