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Finding the Third Proportional to 594,657 and 1,266,156

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Solution

The third proportional to 594,657 and 1,266,156 is: 2,695,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,657 : 1,266,156 = 1,266,156 : x
  2. Step 2: Convert to fraction form
    594,657/1,266,156 = 1,266,156/x
  3. Step 3: Cross multiply
    594,657x = 1,266,156 × 1,266,156
  4. Step 4: Simplify right side
    594,657x = 1,603,151,016,336
  5. Step 5: Solve for x
    x = 1,603,151,016,336/594,657
  6. Step 6: Final answer
    x = 2,695,925.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.