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Finding the Third Proportional to 1,461,881.25 and 2,249,910

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Solution

The third proportional to 1,461,881.25 and 2,249,910 is: 3,462,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,881.25 : 2,249,910 = 2,249,910 : x
  2. Step 2: Convert to fraction form
    1,461,881.25/2,249,910 = 2,249,910/x
  3. Step 3: Cross multiply
    1,461,881.25x = 2,249,910 × 2,249,910
  4. Step 4: Simplify right side
    1,461,881.25x = 5,062,095,008,100
  5. Step 5: Solve for x
    x = 5,062,095,008,100/1,461,881.25
  6. Step 6: Final answer
    x = 3,462,726.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.