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Finding the Third Proportional to 786,264 and 1,075,938

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Solution

The third proportional to 786,264 and 1,075,938 is: 1,472,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,264 : 1,075,938 = 1,075,938 : x
  2. Step 2: Convert to fraction form
    786,264/1,075,938 = 1,075,938/x
  3. Step 3: Cross multiply
    786,264x = 1,075,938 × 1,075,938
  4. Step 4: Simplify right side
    786,264x = 1,157,642,579,844
  5. Step 5: Solve for x
    x = 1,157,642,579,844/786,264
  6. Step 6: Final answer
    x = 1,472,333.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.