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Finding the Third Proportional to 700,658 and 1,083,807

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Solution

The third proportional to 700,658 and 1,083,807 is: 1,676,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,658 : 1,083,807 = 1,083,807 : x
  2. Step 2: Convert to fraction form
    700,658/1,083,807 = 1,083,807/x
  3. Step 3: Cross multiply
    700,658x = 1,083,807 × 1,083,807
  4. Step 4: Simplify right side
    700,658x = 1,174,637,613,249
  5. Step 5: Solve for x
    x = 1,174,637,613,249/700,658
  6. Step 6: Final answer
    x = 1,676,477.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.