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Finding the Third Proportional to 569,742 and 845,829

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Solution

The third proportional to 569,742 and 845,829 is: 1,255,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,742 : 845,829 = 845,829 : x
  2. Step 2: Convert to fraction form
    569,742/845,829 = 845,829/x
  3. Step 3: Cross multiply
    569,742x = 845,829 × 845,829
  4. Step 4: Simplify right side
    569,742x = 715,426,697,241
  5. Step 5: Solve for x
    x = 715,426,697,241/569,742
  6. Step 6: Final answer
    x = 1,255,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.