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Finding the Third Proportional to 584,023 and 1,255,358

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Solution

The third proportional to 584,023 and 1,255,358 is: 2,698,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,023 : 1,255,358 = 1,255,358 : x
  2. Step 2: Convert to fraction form
    584,023/1,255,358 = 1,255,358/x
  3. Step 3: Cross multiply
    584,023x = 1,255,358 × 1,255,358
  4. Step 4: Simplify right side
    584,023x = 1,575,923,708,164
  5. Step 5: Solve for x
    x = 1,575,923,708,164/584,023
  6. Step 6: Final answer
    x = 2,698,393.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.