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Finding the Third Proportional to 836,484 and 1,292,514

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Solution

The third proportional to 836,484 and 1,292,514 is: 1,997,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,484 : 1,292,514 = 1,292,514 : x
  2. Step 2: Convert to fraction form
    836,484/1,292,514 = 1,292,514/x
  3. Step 3: Cross multiply
    836,484x = 1,292,514 × 1,292,514
  4. Step 4: Simplify right side
    836,484x = 1,670,592,440,196
  5. Step 5: Solve for x
    x = 1,670,592,440,196/836,484
  6. Step 6: Final answer
    x = 1,997,160.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.