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Finding the Third Proportional to 832,784 and 1,851,904

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Solution

The third proportional to 832,784 and 1,851,904 is: 4,118,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,784 : 1,851,904 = 1,851,904 : x
  2. Step 2: Convert to fraction form
    832,784/1,851,904 = 1,851,904/x
  3. Step 3: Cross multiply
    832,784x = 1,851,904 × 1,851,904
  4. Step 4: Simplify right side
    832,784x = 3,429,548,425,216
  5. Step 5: Solve for x
    x = 3,429,548,425,216/832,784
  6. Step 6: Final answer
    x = 4,118,172.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.