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Finding the Third Proportional to 443,070 and 971,912.25

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Solution

The third proportional to 443,070 and 971,912.25 is: 2,131,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,070 : 971,912.25 = 971,912.25 : x
  2. Step 2: Convert to fraction form
    443,070/971,912.25 = 971,912.25/x
  3. Step 3: Cross multiply
    443,070x = 971,912.25 × 971,912.25
  4. Step 4: Simplify right side
    443,070x = 944,613,421,700.06
  5. Step 5: Solve for x
    x = 944,613,421,700.06/443,070
  6. Step 6: Final answer
    x = 2,131,973.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.