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Finding the Third Proportional to 435,926 and 923,709

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Solution

The third proportional to 435,926 and 923,709 is: 1,957,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,926 : 923,709 = 923,709 : x
  2. Step 2: Convert to fraction form
    435,926/923,709 = 923,709/x
  3. Step 3: Cross multiply
    435,926x = 923,709 × 923,709
  4. Step 4: Simplify right side
    435,926x = 853,238,316,681
  5. Step 5: Solve for x
    x = 853,238,316,681/435,926
  6. Step 6: Final answer
    x = 1,957,300.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.