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Finding the Third Proportional to 702,442.13 and 1,045,887.19

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Solution

The third proportional to 702,442.13 and 1,045,887.19 is: 1,557,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,442.13 : 1,045,887.19 = 1,045,887.19 : x
  2. Step 2: Convert to fraction form
    702,442.13/1,045,887.19 = 1,045,887.19/x
  3. Step 3: Cross multiply
    702,442.13x = 1,045,887.19 × 1,045,887.19
  4. Step 4: Simplify right side
    702,442.13x = 1,093,880,008,976.66
  5. Step 5: Solve for x
    x = 1,093,880,008,976.66/702,442.13
  6. Step 6: Final answer
    x = 1,557,252.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.