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Finding the Third Proportional to 715,878 and 1,003,428

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Solution

The third proportional to 715,878 and 1,003,428 is: 1,406,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,878 : 1,003,428 = 1,003,428 : x
  2. Step 2: Convert to fraction form
    715,878/1,003,428 = 1,003,428/x
  3. Step 3: Cross multiply
    715,878x = 1,003,428 × 1,003,428
  4. Step 4: Simplify right side
    715,878x = 1,006,867,751,184
  5. Step 5: Solve for x
    x = 1,006,867,751,184/715,878
  6. Step 6: Final answer
    x = 1,406,479.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.