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Finding the Third Proportional to 730,970 and 1,096,454.50

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Solution

The third proportional to 730,970 and 1,096,454.50 is: 1,644,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,970 : 1,096,454.50 = 1,096,454.50 : x
  2. Step 2: Convert to fraction form
    730,970/1,096,454.50 = 1,096,454.50/x
  3. Step 3: Cross multiply
    730,970x = 1,096,454.50 × 1,096,454.50
  4. Step 4: Simplify right side
    730,970x = 1,202,212,470,570.25
  5. Step 5: Solve for x
    x = 1,202,212,470,570.25/730,970
  6. Step 6: Final answer
    x = 1,644,681.00

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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.