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Finding the Third Proportional to 903,570 and 1,964,532

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Solution

The third proportional to 903,570 and 1,964,532 is: 4,271,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,570 : 1,964,532 = 1,964,532 : x
  2. Step 2: Convert to fraction form
    903,570/1,964,532 = 1,964,532/x
  3. Step 3: Cross multiply
    903,570x = 1,964,532 × 1,964,532
  4. Step 4: Simplify right side
    903,570x = 3,859,385,979,024
  5. Step 5: Solve for x
    x = 3,859,385,979,024/903,570
  6. Step 6: Final answer
    x = 4,271,263.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.