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Finding the Third Proportional to 2,992,595.63 and 4,643,274.38

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Solution

The third proportional to 2,992,595.63 and 4,643,274.38 is: 7,204,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,595.63 : 4,643,274.38 = 4,643,274.38 : x
  2. Step 2: Convert to fraction form
    2,992,595.63/4,643,274.38 = 4,643,274.38/x
  3. Step 3: Cross multiply
    2,992,595.63x = 4,643,274.38 × 4,643,274.38
  4. Step 4: Simplify right side
    2,992,595.63x = 21,559,996,921,531.64
  5. Step 5: Solve for x
    x = 21,559,996,921,531.64/2,992,595.63
  6. Step 6: Final answer
    x = 7,204,447.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.