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Finding the Third Proportional to 784,134 and 1,153,233

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Solution

The third proportional to 784,134 and 1,153,233 is: 1,696,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,134 : 1,153,233 = 1,153,233 : x
  2. Step 2: Convert to fraction form
    784,134/1,153,233 = 1,153,233/x
  3. Step 3: Cross multiply
    784,134x = 1,153,233 × 1,153,233
  4. Step 4: Simplify right side
    784,134x = 1,329,946,352,289
  5. Step 5: Solve for x
    x = 1,329,946,352,289/784,134
  6. Step 6: Final answer
    x = 1,696,070.25

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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.