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Finding the Third Proportional to 917,820 and 1,968,492

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Solution

The third proportional to 917,820 and 1,968,492 is: 4,221,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,820 : 1,968,492 = 1,968,492 : x
  2. Step 2: Convert to fraction form
    917,820/1,968,492 = 1,968,492/x
  3. Step 3: Cross multiply
    917,820x = 1,968,492 × 1,968,492
  4. Step 4: Simplify right side
    917,820x = 3,874,960,754,064
  5. Step 5: Solve for x
    x = 3,874,960,754,064/917,820
  6. Step 6: Final answer
    x = 4,221,917.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.