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Finding the Third Proportional to 785,623 and 1,255,223

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Solution

The third proportional to 785,623 and 1,255,223 is: 2,005,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,623 : 1,255,223 = 1,255,223 : x
  2. Step 2: Convert to fraction form
    785,623/1,255,223 = 1,255,223/x
  3. Step 3: Cross multiply
    785,623x = 1,255,223 × 1,255,223
  4. Step 4: Simplify right side
    785,623x = 1,575,584,779,729
  5. Step 5: Solve for x
    x = 1,575,584,779,729/785,623
  6. Step 6: Final answer
    x = 2,005,522.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.