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Finding the Third Proportional to 760,754 and 1,177,346

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Solution

The third proportional to 760,754 and 1,177,346 is: 1,822,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,754 : 1,177,346 = 1,177,346 : x
  2. Step 2: Convert to fraction form
    760,754/1,177,346 = 1,177,346/x
  3. Step 3: Cross multiply
    760,754x = 1,177,346 × 1,177,346
  4. Step 4: Simplify right side
    760,754x = 1,386,143,603,716
  5. Step 5: Solve for x
    x = 1,386,143,603,716/760,754
  6. Step 6: Final answer
    x = 1,822,065.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.