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Finding the Third Proportional to 575,582 and 1,174,000

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Solution

The third proportional to 575,582 and 1,174,000 is: 2,394,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,582 : 1,174,000 = 1,174,000 : x
  2. Step 2: Convert to fraction form
    575,582/1,174,000 = 1,174,000/x
  3. Step 3: Cross multiply
    575,582x = 1,174,000 × 1,174,000
  4. Step 4: Simplify right side
    575,582x = 1,378,276,000,000
  5. Step 5: Solve for x
    x = 1,378,276,000,000/575,582
  6. Step 6: Final answer
    x = 2,394,578.01

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.