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Finding the Third Proportional to 1,514,336 and 3,238,784

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Solution

The third proportional to 1,514,336 and 3,238,784 is: 6,926,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,336 : 3,238,784 = 3,238,784 : x
  2. Step 2: Convert to fraction form
    1,514,336/3,238,784 = 3,238,784/x
  3. Step 3: Cross multiply
    1,514,336x = 3,238,784 × 3,238,784
  4. Step 4: Simplify right side
    1,514,336x = 10,489,721,798,656
  5. Step 5: Solve for x
    x = 10,489,721,798,656/1,514,336
  6. Step 6: Final answer
    x = 6,926,944.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.