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Finding the Third Proportional to 1,070,830.13 and 2,328,284.25

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Solution

The third proportional to 1,070,830.13 and 2,328,284.25 is: 5,062,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,830.13 : 2,328,284.25 = 2,328,284.25 : x
  2. Step 2: Convert to fraction form
    1,070,830.13/2,328,284.25 = 2,328,284.25/x
  3. Step 3: Cross multiply
    1,070,830.13x = 2,328,284.25 × 2,328,284.25
  4. Step 4: Simplify right side
    1,070,830.13x = 5,420,907,548,798.06
  5. Step 5: Solve for x
    x = 5,420,907,548,798.06/1,070,830.13
  6. Step 6: Final answer
    x = 5,062,341.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.