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Finding the Third Proportional to 1,295,810 and 1,786,248.50

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Solution

The third proportional to 1,295,810 and 1,786,248.50 is: 2,462,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,810 : 1,786,248.50 = 1,786,248.50 : x
  2. Step 2: Convert to fraction form
    1,295,810/1,786,248.50 = 1,786,248.50/x
  3. Step 3: Cross multiply
    1,295,810x = 1,786,248.50 × 1,786,248.50
  4. Step 4: Simplify right side
    1,295,810x = 3,190,683,703,752.25
  5. Step 5: Solve for x
    x = 3,190,683,703,752.25/1,295,810
  6. Step 6: Final answer
    x = 2,462,308.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.