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Finding the Third Proportional to 455,784.47 and 977,794.03

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Solution

The third proportional to 455,784.47 and 977,794.03 is: 2,097,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,784.47 : 977,794.03 = 977,794.03 : x
  2. Step 2: Convert to fraction form
    455,784.47/977,794.03 = 977,794.03/x
  3. Step 3: Cross multiply
    455,784.47x = 977,794.03 × 977,794.03
  4. Step 4: Simplify right side
    455,784.47x = 956,081,167,548.13
  5. Step 5: Solve for x
    x = 956,081,167,548.13/455,784.47
  6. Step 6: Final answer
    x = 2,097,660.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.