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Finding the Third Proportional to 849,492 and 1,824,920

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Solution

The third proportional to 849,492 and 1,824,920 is: 3,920,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,492 : 1,824,920 = 1,824,920 : x
  2. Step 2: Convert to fraction form
    849,492/1,824,920 = 1,824,920/x
  3. Step 3: Cross multiply
    849,492x = 1,824,920 × 1,824,920
  4. Step 4: Simplify right side
    849,492x = 3,330,333,006,400
  5. Step 5: Solve for x
    x = 3,330,333,006,400/849,492
  6. Step 6: Final answer
    x = 3,920,381.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.