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Finding the Third Proportional to 4,711,240 and 7,346,796

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Solution

The third proportional to 4,711,240 and 7,346,796 is: 11,456,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711,240 : 7,346,796 = 7,346,796 : x
  2. Step 2: Convert to fraction form
    4,711,240/7,346,796 = 7,346,796/x
  3. Step 3: Cross multiply
    4,711,240x = 7,346,796 × 7,346,796
  4. Step 4: Simplify right side
    4,711,240x = 53,975,411,465,616
  5. Step 5: Solve for x
    x = 53,975,411,465,616/4,711,240
  6. Step 6: Final answer
    x = 11,456,731.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.