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Finding the Third Proportional to 469,538 and 977,988

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Solution

The third proportional to 469,538 and 977,988 is: 2,037,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,538 : 977,988 = 977,988 : x
  2. Step 2: Convert to fraction form
    469,538/977,988 = 977,988/x
  3. Step 3: Cross multiply
    469,538x = 977,988 × 977,988
  4. Step 4: Simplify right side
    469,538x = 956,460,528,144
  5. Step 5: Solve for x
    x = 956,460,528,144/469,538
  6. Step 6: Final answer
    x = 2,037,024.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.