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Finding the Third Proportional to 782,895 and 1,503,582

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Solution

The third proportional to 782,895 and 1,503,582 is: 2,887,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,895 : 1,503,582 = 1,503,582 : x
  2. Step 2: Convert to fraction form
    782,895/1,503,582 = 1,503,582/x
  3. Step 3: Cross multiply
    782,895x = 1,503,582 × 1,503,582
  4. Step 4: Simplify right side
    782,895x = 2,260,758,830,724
  5. Step 5: Solve for x
    x = 2,260,758,830,724/782,895
  6. Step 6: Final answer
    x = 2,887,690.98

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.