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Finding the Third Proportional to 608,146 and 953,987

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Solution

The third proportional to 608,146 and 953,987 is: 1,496,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,146 : 953,987 = 953,987 : x
  2. Step 2: Convert to fraction form
    608,146/953,987 = 953,987/x
  3. Step 3: Cross multiply
    608,146x = 953,987 × 953,987
  4. Step 4: Simplify right side
    608,146x = 910,091,196,169
  5. Step 5: Solve for x
    x = 910,091,196,169/608,146
  6. Step 6: Final answer
    x = 1,496,501.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.