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Finding the Third Proportional to 4,646,913 and 6,692,862

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Solution

The third proportional to 4,646,913 and 6,692,862 is: 9,639,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,913 : 6,692,862 = 6,692,862 : x
  2. Step 2: Convert to fraction form
    4,646,913/6,692,862 = 6,692,862/x
  3. Step 3: Cross multiply
    4,646,913x = 6,692,862 × 6,692,862
  4. Step 4: Simplify right side
    4,646,913x = 44,794,401,751,044
  5. Step 5: Solve for x
    x = 44,794,401,751,044/4,646,913
  6. Step 6: Final answer
    x = 9,639,604.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.