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Finding the Third Proportional to 1,210,510 and 1,696,495

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Solution

The third proportional to 1,210,510 and 1,696,495 is: 2,377,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,510 : 1,696,495 = 1,696,495 : x
  2. Step 2: Convert to fraction form
    1,210,510/1,696,495 = 1,696,495/x
  3. Step 3: Cross multiply
    1,210,510x = 1,696,495 × 1,696,495
  4. Step 4: Simplify right side
    1,210,510x = 2,878,095,285,025
  5. Step 5: Solve for x
    x = 2,878,095,285,025/1,210,510
  6. Step 6: Final answer
    x = 2,377,589.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.