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Finding the Third Proportional to 1,243,966.50 and 2,713,030.50

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Solution

The third proportional to 1,243,966.50 and 2,713,030.50 is: 5,916,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,966.50 : 2,713,030.50 = 2,713,030.50 : x
  2. Step 2: Convert to fraction form
    1,243,966.50/2,713,030.50 = 2,713,030.50/x
  3. Step 3: Cross multiply
    1,243,966.50x = 2,713,030.50 × 2,713,030.50
  4. Step 4: Simplify right side
    1,243,966.50x = 7,360,534,493,930.25
  5. Step 5: Solve for x
    x = 7,360,534,493,930.25/1,243,966.50
  6. Step 6: Final answer
    x = 5,916,987.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.