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Finding the Third Proportional to 711,184 and 1,678,816

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Solution

The third proportional to 711,184 and 1,678,816 is: 3,963,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,184 : 1,678,816 = 1,678,816 : x
  2. Step 2: Convert to fraction form
    711,184/1,678,816 = 1,678,816/x
  3. Step 3: Cross multiply
    711,184x = 1,678,816 × 1,678,816
  4. Step 4: Simplify right side
    711,184x = 2,818,423,161,856
  5. Step 5: Solve for x
    x = 2,818,423,161,856/711,184
  6. Step 6: Final answer
    x = 3,963,001.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.