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Finding the Third Proportional to 1,527,670 and 3,349,127

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Solution

The third proportional to 1,527,670 and 3,349,127 is: 7,342,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,670 : 3,349,127 = 3,349,127 : x
  2. Step 2: Convert to fraction form
    1,527,670/3,349,127 = 3,349,127/x
  3. Step 3: Cross multiply
    1,527,670x = 3,349,127 × 3,349,127
  4. Step 4: Simplify right side
    1,527,670x = 11,216,651,662,129
  5. Step 5: Solve for x
    x = 11,216,651,662,129/1,527,670
  6. Step 6: Final answer
    x = 7,342,326.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.