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Finding the Third Proportional to 971,038.50 and 1,470,051

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Solution

The third proportional to 971,038.50 and 1,470,051 is: 2,225,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,038.50 : 1,470,051 = 1,470,051 : x
  2. Step 2: Convert to fraction form
    971,038.50/1,470,051 = 1,470,051/x
  3. Step 3: Cross multiply
    971,038.50x = 1,470,051 × 1,470,051
  4. Step 4: Simplify right side
    971,038.50x = 2,161,049,942,601
  5. Step 5: Solve for x
    x = 2,161,049,942,601/971,038.50
  6. Step 6: Final answer
    x = 2,225,503.87

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