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Finding the Third Proportional to 1,045,710 and 2,283,309

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Solution

The third proportional to 1,045,710 and 2,283,309 is: 4,985,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,710 : 2,283,309 = 2,283,309 : x
  2. Step 2: Convert to fraction form
    1,045,710/2,283,309 = 2,283,309/x
  3. Step 3: Cross multiply
    1,045,710x = 2,283,309 × 2,283,309
  4. Step 4: Simplify right side
    1,045,710x = 5,213,499,989,481
  5. Step 5: Solve for x
    x = 5,213,499,989,481/1,045,710
  6. Step 6: Final answer
    x = 4,985,607.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.