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Finding the Third Proportional to 1,033,492 and 1,509,342

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Solution

The third proportional to 1,033,492 and 1,509,342 is: 2,204,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,492 : 1,509,342 = 1,509,342 : x
  2. Step 2: Convert to fraction form
    1,033,492/1,509,342 = 1,509,342/x
  3. Step 3: Cross multiply
    1,033,492x = 1,509,342 × 1,509,342
  4. Step 4: Simplify right side
    1,033,492x = 2,278,113,272,964
  5. Step 5: Solve for x
    x = 2,278,113,272,964/1,033,492
  6. Step 6: Final answer
    x = 2,204,287.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.