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Finding the Third Proportional to 760,347 and 1,633,014

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Solution

The third proportional to 760,347 and 1,633,014 is: 3,507,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,347 : 1,633,014 = 1,633,014 : x
  2. Step 2: Convert to fraction form
    760,347/1,633,014 = 1,633,014/x
  3. Step 3: Cross multiply
    760,347x = 1,633,014 × 1,633,014
  4. Step 4: Simplify right side
    760,347x = 2,666,734,724,196
  5. Step 5: Solve for x
    x = 2,666,734,724,196/760,347
  6. Step 6: Final answer
    x = 3,507,260.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.