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Finding the Third Proportional to 971,334 and 1,457,002.50

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Solution

The third proportional to 971,334 and 1,457,002.50 is: 2,185,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,334 : 1,457,002.50 = 1,457,002.50 : x
  2. Step 2: Convert to fraction form
    971,334/1,457,002.50 = 1,457,002.50/x
  3. Step 3: Cross multiply
    971,334x = 1,457,002.50 × 1,457,002.50
  4. Step 4: Simplify right side
    971,334x = 2,122,856,285,006.25
  5. Step 5: Solve for x
    x = 2,122,856,285,006.25/971,334
  6. Step 6: Final answer
    x = 2,185,506.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.