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Finding the Third Proportional to 1,312,214 and 2,142,711

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Solution

The third proportional to 1,312,214 and 2,142,711 is: 3,498,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,214 : 2,142,711 = 2,142,711 : x
  2. Step 2: Convert to fraction form
    1,312,214/2,142,711 = 2,142,711/x
  3. Step 3: Cross multiply
    1,312,214x = 2,142,711 × 2,142,711
  4. Step 4: Simplify right side
    1,312,214x = 4,591,210,429,521
  5. Step 5: Solve for x
    x = 4,591,210,429,521/1,312,214
  6. Step 6: Final answer
    x = 3,498,827.50

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.