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Finding the Third Proportional to 771,258 and 1,186,207

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Solution

The third proportional to 771,258 and 1,186,207 is: 1,824,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,258 : 1,186,207 = 1,186,207 : x
  2. Step 2: Convert to fraction form
    771,258/1,186,207 = 1,186,207/x
  3. Step 3: Cross multiply
    771,258x = 1,186,207 × 1,186,207
  4. Step 4: Simplify right side
    771,258x = 1,407,087,046,849
  5. Step 5: Solve for x
    x = 1,407,087,046,849/771,258
  6. Step 6: Final answer
    x = 1,824,405.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.