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Finding the Third Proportional to 448,772.63 and 972,316.13

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Solution

The third proportional to 448,772.63 and 972,316.13 is: 2,106,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,772.63 : 972,316.13 = 972,316.13 : x
  2. Step 2: Convert to fraction form
    448,772.63/972,316.13 = 972,316.13/x
  3. Step 3: Cross multiply
    448,772.63x = 972,316.13 × 972,316.13
  4. Step 4: Simplify right side
    448,772.63x = 945,398,646,935.02
  5. Step 5: Solve for x
    x = 945,398,646,935.02/448,772.63
  6. Step 6: Final answer
    x = 2,106,631.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.