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Finding the Third Proportional to 736,374 and 1,613,283

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Solution

The third proportional to 736,374 and 1,613,283 is: 3,534,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,374 : 1,613,283 = 1,613,283 : x
  2. Step 2: Convert to fraction form
    736,374/1,613,283 = 1,613,283/x
  3. Step 3: Cross multiply
    736,374x = 1,613,283 × 1,613,283
  4. Step 4: Simplify right side
    736,374x = 2,602,682,038,089
  5. Step 5: Solve for x
    x = 2,602,682,038,089/736,374
  6. Step 6: Final answer
    x = 3,534,456.73

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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.