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Finding the Third Proportional to 1,353,904 and 2,973,541

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Solution

The third proportional to 1,353,904 and 2,973,541 is: 6,530,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,904 : 2,973,541 = 2,973,541 : x
  2. Step 2: Convert to fraction form
    1,353,904/2,973,541 = 2,973,541/x
  3. Step 3: Cross multiply
    1,353,904x = 2,973,541 × 2,973,541
  4. Step 4: Simplify right side
    1,353,904x = 8,841,946,078,681
  5. Step 5: Solve for x
    x = 8,841,946,078,681/1,353,904
  6. Step 6: Final answer
    x = 6,530,703.86

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Why These Related Problems?

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