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Finding the Third Proportional to 1,265,840 and 2,772,006

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Solution

The third proportional to 1,265,840 and 2,772,006 is: 6,070,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,840 : 2,772,006 = 2,772,006 : x
  2. Step 2: Convert to fraction form
    1,265,840/2,772,006 = 2,772,006/x
  3. Step 3: Cross multiply
    1,265,840x = 2,772,006 × 2,772,006
  4. Step 4: Simplify right side
    1,265,840x = 7,684,017,264,036
  5. Step 5: Solve for x
    x = 7,684,017,264,036/1,265,840
  6. Step 6: Final answer
    x = 6,070,291.08

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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.