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Finding the Third Proportional to 709,155 and 1,536,462

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Solution

The third proportional to 709,155 and 1,536,462 is: 3,328,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,155 : 1,536,462 = 1,536,462 : x
  2. Step 2: Convert to fraction form
    709,155/1,536,462 = 1,536,462/x
  3. Step 3: Cross multiply
    709,155x = 1,536,462 × 1,536,462
  4. Step 4: Simplify right side
    709,155x = 2,360,715,477,444
  5. Step 5: Solve for x
    x = 2,360,715,477,444/709,155
  6. Step 6: Final answer
    x = 3,328,913.25

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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.