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Finding the Third Proportional to 696,240 and 1,049,904

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Solution

The third proportional to 696,240 and 1,049,904 is: 1,583,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,240 : 1,049,904 = 1,049,904 : x
  2. Step 2: Convert to fraction form
    696,240/1,049,904 = 1,049,904/x
  3. Step 3: Cross multiply
    696,240x = 1,049,904 × 1,049,904
  4. Step 4: Simplify right side
    696,240x = 1,102,298,409,216
  5. Step 5: Solve for x
    x = 1,102,298,409,216/696,240
  6. Step 6: Final answer
    x = 1,583,216.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.