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Finding the Third Proportional to 1,985,913 and 4,242,928

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Solution

The third proportional to 1,985,913 and 4,242,928 is: 9,065,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,913 : 4,242,928 = 4,242,928 : x
  2. Step 2: Convert to fraction form
    1,985,913/4,242,928 = 4,242,928/x
  3. Step 3: Cross multiply
    1,985,913x = 4,242,928 × 4,242,928
  4. Step 4: Simplify right side
    1,985,913x = 18,002,438,013,184
  5. Step 5: Solve for x
    x = 18,002,438,013,184/1,985,913
  6. Step 6: Final answer
    x = 9,065,068.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.