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Finding the Third Proportional to 1,210,401 and 1,696,348

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Solution

The third proportional to 1,210,401 and 1,696,348 is: 2,377,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,401 : 1,696,348 = 1,696,348 : x
  2. Step 2: Convert to fraction form
    1,210,401/1,696,348 = 1,696,348/x
  3. Step 3: Cross multiply
    1,210,401x = 1,696,348 × 1,696,348
  4. Step 4: Simplify right side
    1,210,401x = 2,877,596,537,104
  5. Step 5: Solve for x
    x = 2,877,596,537,104/1,210,401
  6. Step 6: Final answer
    x = 2,377,391.08

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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.