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Finding the Third Proportional to 1,018,384 and 1,497,768

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Solution

The third proportional to 1,018,384 and 1,497,768 is: 2,202,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,384 : 1,497,768 = 1,497,768 : x
  2. Step 2: Convert to fraction form
    1,018,384/1,497,768 = 1,497,768/x
  3. Step 3: Cross multiply
    1,018,384x = 1,497,768 × 1,497,768
  4. Step 4: Simplify right side
    1,018,384x = 2,243,308,981,824
  5. Step 5: Solve for x
    x = 2,243,308,981,824/1,018,384
  6. Step 6: Final answer
    x = 2,202,812.48

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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.