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Finding the Third Proportional to 4,842,000 and 6,785,928

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Solution

The third proportional to 4,842,000 and 6,785,928 is: 9,510,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842,000 : 6,785,928 = 6,785,928 : x
  2. Step 2: Convert to fraction form
    4,842,000/6,785,928 = 6,785,928/x
  3. Step 3: Cross multiply
    4,842,000x = 6,785,928 × 6,785,928
  4. Step 4: Simplify right side
    4,842,000x = 46,048,818,821,184
  5. Step 5: Solve for x
    x = 46,048,818,821,184/4,842,000
  6. Step 6: Final answer
    x = 9,510,288.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.