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Finding the Third Proportional to 691,740 and 1,514,700

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Solution

The third proportional to 691,740 and 1,514,700 is: 3,316,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,740 : 1,514,700 = 1,514,700 : x
  2. Step 2: Convert to fraction form
    691,740/1,514,700 = 1,514,700/x
  3. Step 3: Cross multiply
    691,740x = 1,514,700 × 1,514,700
  4. Step 4: Simplify right side
    691,740x = 2,294,316,090,000
  5. Step 5: Solve for x
    x = 2,294,316,090,000/691,740
  6. Step 6: Final answer
    x = 3,316,731.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.