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Finding the Third Proportional to 786,261 and 1,075,935

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Solution

The third proportional to 786,261 and 1,075,935 is: 1,472,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,261 : 1,075,935 = 1,075,935 : x
  2. Step 2: Convert to fraction form
    786,261/1,075,935 = 1,075,935/x
  3. Step 3: Cross multiply
    786,261x = 1,075,935 × 1,075,935
  4. Step 4: Simplify right side
    786,261x = 1,157,636,124,225
  5. Step 5: Solve for x
    x = 1,157,636,124,225/786,261
  6. Step 6: Final answer
    x = 1,472,330.59

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Why These Related Problems?

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