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Finding the Third Proportional to 2,319,316 and 4,703,877

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Solution

The third proportional to 2,319,316 and 4,703,877 is: 9,540,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319,316 : 4,703,877 = 4,703,877 : x
  2. Step 2: Convert to fraction form
    2,319,316/4,703,877 = 4,703,877/x
  3. Step 3: Cross multiply
    2,319,316x = 4,703,877 × 4,703,877
  4. Step 4: Simplify right side
    2,319,316x = 22,126,458,831,129
  5. Step 5: Solve for x
    x = 22,126,458,831,129/2,319,316
  6. Step 6: Final answer
    x = 9,540,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.