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Finding the Third Proportional to 584,020 and 1,255,352

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Solution

The third proportional to 584,020 and 1,255,352 is: 2,698,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,020 : 1,255,352 = 1,255,352 : x
  2. Step 2: Convert to fraction form
    584,020/1,255,352 = 1,255,352/x
  3. Step 3: Cross multiply
    584,020x = 1,255,352 × 1,255,352
  4. Step 4: Simplify right side
    584,020x = 1,575,908,643,904
  5. Step 5: Solve for x
    x = 1,575,908,643,904/584,020
  6. Step 6: Final answer
    x = 2,698,381.29

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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.