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Finding the Third Proportional to 760,794 and 1,643,421

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Solution

The third proportional to 760,794 and 1,643,421 is: 3,550,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,794 : 1,643,421 = 1,643,421 : x
  2. Step 2: Convert to fraction form
    760,794/1,643,421 = 1,643,421/x
  3. Step 3: Cross multiply
    760,794x = 1,643,421 × 1,643,421
  4. Step 4: Simplify right side
    760,794x = 2,700,832,583,241
  5. Step 5: Solve for x
    x = 2,700,832,583,241/760,794
  6. Step 6: Final answer
    x = 3,550,018.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.