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Finding the Third Proportional to 1,086,356 and 1,596,238

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Solution

The third proportional to 1,086,356 and 1,596,238 is: 2,345,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,356 : 1,596,238 = 1,596,238 : x
  2. Step 2: Convert to fraction form
    1,086,356/1,596,238 = 1,596,238/x
  3. Step 3: Cross multiply
    1,086,356x = 1,596,238 × 1,596,238
  4. Step 4: Simplify right side
    1,086,356x = 2,547,975,752,644
  5. Step 5: Solve for x
    x = 2,547,975,752,644/1,086,356
  6. Step 6: Final answer
    x = 2,345,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.