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Finding the Third Proportional to 758,040 and 1,658,509

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Solution

The third proportional to 758,040 and 1,658,509 is: 3,628,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,040 : 1,658,509 = 1,658,509 : x
  2. Step 2: Convert to fraction form
    758,040/1,658,509 = 1,658,509/x
  3. Step 3: Cross multiply
    758,040x = 1,658,509 × 1,658,509
  4. Step 4: Simplify right side
    758,040x = 2,750,652,103,081
  5. Step 5: Solve for x
    x = 2,750,652,103,081/758,040
  6. Step 6: Final answer
    x = 3,628,637.15

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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.