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Finding the Third Proportional to 1,402,301.53 and 3,014,086.78

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Solution

The third proportional to 1,402,301.53 and 3,014,086.78 is: 6,478,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,301.53 : 3,014,086.78 = 3,014,086.78 : x
  2. Step 2: Convert to fraction form
    1,402,301.53/3,014,086.78 = 3,014,086.78/x
  3. Step 3: Cross multiply
    1,402,301.53x = 3,014,086.78 × 3,014,086.78
  4. Step 4: Simplify right side
    1,402,301.53x = 9,084,719,124,905.99
  5. Step 5: Solve for x
    x = 9,084,719,124,905.99/1,402,301.53
  6. Step 6: Final answer
    x = 6,478,434.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.