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Finding the Third Proportional to 640,089 and 961,834.50

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Solution

The third proportional to 640,089 and 961,834.50 is: 1,445,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,089 : 961,834.50 = 961,834.50 : x
  2. Step 2: Convert to fraction form
    640,089/961,834.50 = 961,834.50/x
  3. Step 3: Cross multiply
    640,089x = 961,834.50 × 961,834.50
  4. Step 4: Simplify right side
    640,089x = 925,125,605,390.25
  5. Step 5: Solve for x
    x = 925,125,605,390.25/640,089
  6. Step 6: Final answer
    x = 1,445,307.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.