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Finding the Third Proportional to 691,386 and 1,037,097

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Solution

The third proportional to 691,386 and 1,037,097 is: 1,555,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,386 : 1,037,097 = 1,037,097 : x
  2. Step 2: Convert to fraction form
    691,386/1,037,097 = 1,037,097/x
  3. Step 3: Cross multiply
    691,386x = 1,037,097 × 1,037,097
  4. Step 4: Simplify right side
    691,386x = 1,075,570,187,409
  5. Step 5: Solve for x
    x = 1,075,570,187,409/691,386
  6. Step 6: Final answer
    x = 1,555,672.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.