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Finding the Third Proportional to 1,310,069.95 and 2,830,501.97

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Solution

The third proportional to 1,310,069.95 and 2,830,501.97 is: 6,115,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,069.95 : 2,830,501.97 = 2,830,501.97 : x
  2. Step 2: Convert to fraction form
    1,310,069.95/2,830,501.97 = 2,830,501.97/x
  3. Step 3: Cross multiply
    1,310,069.95x = 2,830,501.97 × 2,830,501.97
  4. Step 4: Simplify right side
    1,310,069.95x = 8,011,741,395,097.63
  5. Step 5: Solve for x
    x = 8,011,741,395,097.63/1,310,069.95
  6. Step 6: Final answer
    x = 6,115,506.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.