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Finding the Third Proportional to 1,406,862 and 2,863,442.25

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Solution

The third proportional to 1,406,862 and 2,863,442.25 is: 5,828,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,862 : 2,863,442.25 = 2,863,442.25 : x
  2. Step 2: Convert to fraction form
    1,406,862/2,863,442.25 = 2,863,442.25/x
  3. Step 3: Cross multiply
    1,406,862x = 2,863,442.25 × 2,863,442.25
  4. Step 4: Simplify right side
    1,406,862x = 8,199,301,519,085.06
  5. Step 5: Solve for x
    x = 8,199,301,519,085.06/1,406,862
  6. Step 6: Final answer
    x = 5,828,078.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.