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Finding the Third Proportional to 822,129 and 1,793,730

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Solution

The third proportional to 822,129 and 1,793,730 is: 3,913,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,129 : 1,793,730 = 1,793,730 : x
  2. Step 2: Convert to fraction form
    822,129/1,793,730 = 1,793,730/x
  3. Step 3: Cross multiply
    822,129x = 1,793,730 × 1,793,730
  4. Step 4: Simplify right side
    822,129x = 3,217,467,312,900
  5. Step 5: Solve for x
    x = 3,217,467,312,900/822,129
  6. Step 6: Final answer
    x = 3,913,579.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.