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Finding the Third Proportional to 760,266 and 1,646,011

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Solution

The third proportional to 760,266 and 1,646,011 is: 3,563,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,266 : 1,646,011 = 1,646,011 : x
  2. Step 2: Convert to fraction form
    760,266/1,646,011 = 1,646,011/x
  3. Step 3: Cross multiply
    760,266x = 1,646,011 × 1,646,011
  4. Step 4: Simplify right side
    760,266x = 2,709,352,212,121
  5. Step 5: Solve for x
    x = 2,709,352,212,121/760,266
  6. Step 6: Final answer
    x = 3,563,689.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.