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Finding the Third Proportional to 1,312,216 and 2,869,520

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Solution

The third proportional to 1,312,216 and 2,869,520 is: 6,274,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,216 : 2,869,520 = 2,869,520 : x
  2. Step 2: Convert to fraction form
    1,312,216/2,869,520 = 2,869,520/x
  3. Step 3: Cross multiply
    1,312,216x = 2,869,520 × 2,869,520
  4. Step 4: Simplify right side
    1,312,216x = 8,234,145,030,400
  5. Step 5: Solve for x
    x = 8,234,145,030,400/1,312,216
  6. Step 6: Final answer
    x = 6,274,992.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.