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Finding the Third Proportional to 1,574,016 and 3,478,816

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Solution

The third proportional to 1,574,016 and 3,478,816 is: 7,688,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,016 : 3,478,816 = 3,478,816 : x
  2. Step 2: Convert to fraction form
    1,574,016/3,478,816 = 3,478,816/x
  3. Step 3: Cross multiply
    1,574,016x = 3,478,816 × 3,478,816
  4. Step 4: Simplify right side
    1,574,016x = 12,102,160,761,856
  5. Step 5: Solve for x
    x = 12,102,160,761,856/1,574,016
  6. Step 6: Final answer
    x = 7,688,715.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.