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Finding the Third Proportional to 709,865 and 1,539,502

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Solution

The third proportional to 709,865 and 1,539,502 is: 3,338,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,865 : 1,539,502 = 1,539,502 : x
  2. Step 2: Convert to fraction form
    709,865/1,539,502 = 1,539,502/x
  3. Step 3: Cross multiply
    709,865x = 1,539,502 × 1,539,502
  4. Step 4: Simplify right side
    709,865x = 2,370,066,408,004
  5. Step 5: Solve for x
    x = 2,370,066,408,004/709,865
  6. Step 6: Final answer
    x = 3,338,756.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.