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Finding the Third Proportional to 865,987.50 and 1,289,746.50

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Solution

The third proportional to 865,987.50 and 1,289,746.50 is: 1,920,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,987.50 : 1,289,746.50 = 1,289,746.50 : x
  2. Step 2: Convert to fraction form
    865,987.50/1,289,746.50 = 1,289,746.50/x
  3. Step 3: Cross multiply
    865,987.50x = 1,289,746.50 × 1,289,746.50
  4. Step 4: Simplify right side
    865,987.50x = 1,663,446,034,262.25
  5. Step 5: Solve for x
    x = 1,663,446,034,262.25/865,987.50
  6. Step 6: Final answer
    x = 1,920,866.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.