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Finding the Third Proportional to 507,132.14 and 1,070,852.91

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Solution

The third proportional to 507,132.14 and 1,070,852.91 is: 2,261,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,132.14 : 1,070,852.91 = 1,070,852.91 : x
  2. Step 2: Convert to fraction form
    507,132.14/1,070,852.91 = 1,070,852.91/x
  3. Step 3: Cross multiply
    507,132.14x = 1,070,852.91 × 1,070,852.91
  4. Step 4: Simplify right side
    507,132.14x = 1,146,725,946,824.07
  5. Step 5: Solve for x
    x = 1,146,725,946,824.07/507,132.14
  6. Step 6: Final answer
    x = 2,261,197.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.