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Finding the Third Proportional to 712,726 and 1,437,114

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Solution

The third proportional to 712,726 and 1,437,114 is: 2,897,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,726 : 1,437,114 = 1,437,114 : x
  2. Step 2: Convert to fraction form
    712,726/1,437,114 = 1,437,114/x
  3. Step 3: Cross multiply
    712,726x = 1,437,114 × 1,437,114
  4. Step 4: Simplify right side
    712,726x = 2,065,296,648,996
  5. Step 5: Solve for x
    x = 2,065,296,648,996/712,726
  6. Step 6: Final answer
    x = 2,897,742.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.