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Finding the Third Proportional to 776,772 and 1,665,432

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Solution

The third proportional to 776,772 and 1,665,432 is: 3,570,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,772 : 1,665,432 = 1,665,432 : x
  2. Step 2: Convert to fraction form
    776,772/1,665,432 = 1,665,432/x
  3. Step 3: Cross multiply
    776,772x = 1,665,432 × 1,665,432
  4. Step 4: Simplify right side
    776,772x = 2,773,663,746,624
  5. Step 5: Solve for x
    x = 2,773,663,746,624/776,772
  6. Step 6: Final answer
    x = 3,570,756.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.