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Finding the Third Proportional to 475,855 and 1,030,117

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Solution

The third proportional to 475,855 and 1,030,117 is: 2,229,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,855 : 1,030,117 = 1,030,117 : x
  2. Step 2: Convert to fraction form
    475,855/1,030,117 = 1,030,117/x
  3. Step 3: Cross multiply
    475,855x = 1,030,117 × 1,030,117
  4. Step 4: Simplify right side
    475,855x = 1,061,141,033,689
  5. Step 5: Solve for x
    x = 1,061,141,033,689/475,855
  6. Step 6: Final answer
    x = 2,229,967.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.