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Finding the Third Proportional to 912,894 and 1,970,132

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Solution

The third proportional to 912,894 and 1,970,132 is: 4,251,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,894 : 1,970,132 = 1,970,132 : x
  2. Step 2: Convert to fraction form
    912,894/1,970,132 = 1,970,132/x
  3. Step 3: Cross multiply
    912,894x = 1,970,132 × 1,970,132
  4. Step 4: Simplify right side
    912,894x = 3,881,420,097,424
  5. Step 5: Solve for x
    x = 3,881,420,097,424/912,894
  6. Step 6: Final answer
    x = 4,251,775.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.