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Finding the Third Proportional to 762,058 and 1,655,444

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Solution

The third proportional to 762,058 and 1,655,444 is: 3,596,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,058 : 1,655,444 = 1,655,444 : x
  2. Step 2: Convert to fraction form
    762,058/1,655,444 = 1,655,444/x
  3. Step 3: Cross multiply
    762,058x = 1,655,444 × 1,655,444
  4. Step 4: Simplify right side
    762,058x = 2,740,494,837,136
  5. Step 5: Solve for x
    x = 2,740,494,837,136/762,058
  6. Step 6: Final answer
    x = 3,596,176.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.