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Finding the Third Proportional to 753,004 and 1,653,464

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Solution

The third proportional to 753,004 and 1,653,464 is: 3,630,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,004 : 1,653,464 = 1,653,464 : x
  2. Step 2: Convert to fraction form
    753,004/1,653,464 = 1,653,464/x
  3. Step 3: Cross multiply
    753,004x = 1,653,464 × 1,653,464
  4. Step 4: Simplify right side
    753,004x = 2,733,943,199,296
  5. Step 5: Solve for x
    x = 2,733,943,199,296/753,004
  6. Step 6: Final answer
    x = 3,630,715.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.