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Finding the Third Proportional to 1,026,752 and 1,580,224

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Solution

The third proportional to 1,026,752 and 1,580,224 is: 2,432,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,752 : 1,580,224 = 1,580,224 : x
  2. Step 2: Convert to fraction form
    1,026,752/1,580,224 = 1,580,224/x
  3. Step 3: Cross multiply
    1,026,752x = 1,580,224 × 1,580,224
  4. Step 4: Simplify right side
    1,026,752x = 2,497,107,890,176
  5. Step 5: Solve for x
    x = 2,497,107,890,176/1,026,752
  6. Step 6: Final answer
    x = 2,432,045.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.