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Finding the Third Proportional to 964,518.47 and 1,420,130.81

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Solution

The third proportional to 964,518.47 and 1,420,130.81 is: 2,090,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,518.47 : 1,420,130.81 = 1,420,130.81 : x
  2. Step 2: Convert to fraction form
    964,518.47/1,420,130.81 = 1,420,130.81/x
  3. Step 3: Cross multiply
    964,518.47x = 1,420,130.81 × 1,420,130.81
  4. Step 4: Simplify right side
    964,518.47x = 2,016,771,524,611.91
  5. Step 5: Solve for x
    x = 2,016,771,524,611.91/964,518.47
  6. Step 6: Final answer
    x = 2,090,962.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.