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Finding the Third Proportional to 686,886 and 1,050,726

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Solution

The third proportional to 686,886 and 1,050,726 is: 1,607,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,886 : 1,050,726 = 1,050,726 : x
  2. Step 2: Convert to fraction form
    686,886/1,050,726 = 1,050,726/x
  3. Step 3: Cross multiply
    686,886x = 1,050,726 × 1,050,726
  4. Step 4: Simplify right side
    686,886x = 1,104,025,127,076
  5. Step 5: Solve for x
    x = 1,104,025,127,076/686,886
  6. Step 6: Final answer
    x = 1,607,290.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.