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Finding the Third Proportional to 2,916,799 and 4,201,465

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Solution

The third proportional to 2,916,799 and 4,201,465 is: 6,051,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916,799 : 4,201,465 = 4,201,465 : x
  2. Step 2: Convert to fraction form
    2,916,799/4,201,465 = 4,201,465/x
  3. Step 3: Cross multiply
    2,916,799x = 4,201,465 × 4,201,465
  4. Step 4: Simplify right side
    2,916,799x = 17,652,308,146,225
  5. Step 5: Solve for x
    x = 17,652,308,146,225/2,916,799
  6. Step 6: Final answer
    x = 6,051,945.35

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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.