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Finding the Third Proportional to 695,746 and 1,510,464

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Solution

The third proportional to 695,746 and 1,510,464 is: 3,279,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,746 : 1,510,464 = 1,510,464 : x
  2. Step 2: Convert to fraction form
    695,746/1,510,464 = 1,510,464/x
  3. Step 3: Cross multiply
    695,746x = 1,510,464 × 1,510,464
  4. Step 4: Simplify right side
    695,746x = 2,281,501,495,296
  5. Step 5: Solve for x
    x = 2,281,501,495,296/695,746
  6. Step 6: Final answer
    x = 3,279,216.12

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