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Finding the Third Proportional to 1,076,409 and 2,264,343

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Solution

The third proportional to 1,076,409 and 2,264,343 is: 4,763,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,409 : 2,264,343 = 2,264,343 : x
  2. Step 2: Convert to fraction form
    1,076,409/2,264,343 = 2,264,343/x
  3. Step 3: Cross multiply
    1,076,409x = 2,264,343 × 2,264,343
  4. Step 4: Simplify right side
    1,076,409x = 5,127,249,221,649
  5. Step 5: Solve for x
    x = 5,127,249,221,649/1,076,409
  6. Step 6: Final answer
    x = 4,763,290.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.