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Finding the Third Proportional to 774,912 and 1,041,354

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Solution

The third proportional to 774,912 and 1,041,354 is: 1,399,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,912 : 1,041,354 = 1,041,354 : x
  2. Step 2: Convert to fraction form
    774,912/1,041,354 = 1,041,354/x
  3. Step 3: Cross multiply
    774,912x = 1,041,354 × 1,041,354
  4. Step 4: Simplify right side
    774,912x = 1,084,418,153,316
  5. Step 5: Solve for x
    x = 1,084,418,153,316/774,912
  6. Step 6: Final answer
    x = 1,399,408.13

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.