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Finding the Third Proportional to 695,512 and 1,465,746

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Solution

The third proportional to 695,512 and 1,465,746 is: 3,088,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,512 : 1,465,746 = 1,465,746 : x
  2. Step 2: Convert to fraction form
    695,512/1,465,746 = 1,465,746/x
  3. Step 3: Cross multiply
    695,512x = 1,465,746 × 1,465,746
  4. Step 4: Simplify right side
    695,512x = 2,148,411,336,516
  5. Step 5: Solve for x
    x = 2,148,411,336,516/695,512
  6. Step 6: Final answer
    x = 3,088,963.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.