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Finding the Third Proportional to 425,907 and 910,908.50

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Solution

The third proportional to 425,907 and 910,908.50 is: 1,948,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,907 : 910,908.50 = 910,908.50 : x
  2. Step 2: Convert to fraction form
    425,907/910,908.50 = 910,908.50/x
  3. Step 3: Cross multiply
    425,907x = 910,908.50 × 910,908.50
  4. Step 4: Simplify right side
    425,907x = 829,754,295,372.25
  5. Step 5: Solve for x
    x = 829,754,295,372.25/425,907
  6. Step 6: Final answer
    x = 1,948,205.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.