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Finding the Third Proportional to 784,116 and 1,153,207

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Solution

The third proportional to 784,116 and 1,153,207 is: 1,696,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,116 : 1,153,207 = 1,153,207 : x
  2. Step 2: Convert to fraction form
    784,116/1,153,207 = 1,153,207/x
  3. Step 3: Cross multiply
    784,116x = 1,153,207 × 1,153,207
  4. Step 4: Simplify right side
    784,116x = 1,329,886,384,849
  5. Step 5: Solve for x
    x = 1,329,886,384,849/784,116
  6. Step 6: Final answer
    x = 1,696,032.71

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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.