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Finding the Third Proportional to 1,973,946 and 2,975,512.50

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Solution

The third proportional to 1,973,946 and 2,975,512.50 is: 4,485,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,946 : 2,975,512.50 = 2,975,512.50 : x
  2. Step 2: Convert to fraction form
    1,973,946/2,975,512.50 = 2,975,512.50/x
  3. Step 3: Cross multiply
    1,973,946x = 2,975,512.50 × 2,975,512.50
  4. Step 4: Simplify right side
    1,973,946x = 8,853,674,637,656.25
  5. Step 5: Solve for x
    x = 8,853,674,637,656.25/1,973,946
  6. Step 6: Final answer
    x = 4,485,266.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.