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Finding the Third Proportional to 1,145,922 and 2,428,447.50

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Solution

The third proportional to 1,145,922 and 2,428,447.50 is: 5,146,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,922 : 2,428,447.50 = 2,428,447.50 : x
  2. Step 2: Convert to fraction form
    1,145,922/2,428,447.50 = 2,428,447.50/x
  3. Step 3: Cross multiply
    1,145,922x = 2,428,447.50 × 2,428,447.50
  4. Step 4: Simplify right side
    1,145,922x = 5,897,357,260,256.25
  5. Step 5: Solve for x
    x = 5,897,357,260,256.25/1,145,922
  6. Step 6: Final answer
    x = 5,146,386.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.