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Finding the Third Proportional to 1,527,670.50 and 3,349,128

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Solution

The third proportional to 1,527,670.50 and 3,349,128 is: 7,342,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,670.50 : 3,349,128 = 3,349,128 : x
  2. Step 2: Convert to fraction form
    1,527,670.50/3,349,128 = 3,349,128/x
  3. Step 3: Cross multiply
    1,527,670.50x = 3,349,128 × 3,349,128
  4. Step 4: Simplify right side
    1,527,670.50x = 11,216,658,360,384
  5. Step 5: Solve for x
    x = 11,216,658,360,384/1,527,670.50
  6. Step 6: Final answer
    x = 7,342,328.31

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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.