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Finding the Third Proportional to 2,314,312 and 3,583,116

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Solution

The third proportional to 2,314,312 and 3,583,116 is: 5,547,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,312 : 3,583,116 = 3,583,116 : x
  2. Step 2: Convert to fraction form
    2,314,312/3,583,116 = 3,583,116/x
  3. Step 3: Cross multiply
    2,314,312x = 3,583,116 × 3,583,116
  4. Step 4: Simplify right side
    2,314,312x = 12,838,720,269,456
  5. Step 5: Solve for x
    x = 12,838,720,269,456/2,314,312
  6. Step 6: Final answer
    x = 5,547,532.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.