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Finding the Third Proportional to 513,507 and 1,108,206.50

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Solution

The third proportional to 513,507 and 1,108,206.50 is: 2,391,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,507 : 1,108,206.50 = 1,108,206.50 : x
  2. Step 2: Convert to fraction form
    513,507/1,108,206.50 = 1,108,206.50/x
  3. Step 3: Cross multiply
    513,507x = 1,108,206.50 × 1,108,206.50
  4. Step 4: Simplify right side
    513,507x = 1,228,121,646,642.25
  5. Step 5: Solve for x
    x = 1,228,121,646,642.25/513,507
  6. Step 6: Final answer
    x = 2,391,635.65

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