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Finding the Third Proportional to 463,617 and 977,872.50

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Solution

The third proportional to 463,617 and 977,872.50 is: 2,062,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,617 : 977,872.50 = 977,872.50 : x
  2. Step 2: Convert to fraction form
    463,617/977,872.50 = 977,872.50/x
  3. Step 3: Cross multiply
    463,617x = 977,872.50 × 977,872.50
  4. Step 4: Simplify right side
    463,617x = 956,234,626,256.25
  5. Step 5: Solve for x
    x = 956,234,626,256.25/463,617
  6. Step 6: Final answer
    x = 2,062,552.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.