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Finding the Third Proportional to 5,877,594 and 8,465,796

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Solution

The third proportional to 5,877,594 and 8,465,796 is: 12,193,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,594 : 8,465,796 = 8,465,796 : x
  2. Step 2: Convert to fraction form
    5,877,594/8,465,796 = 8,465,796/x
  3. Step 3: Cross multiply
    5,877,594x = 8,465,796 × 8,465,796
  4. Step 4: Simplify right side
    5,877,594x = 71,669,701,913,616
  5. Step 5: Solve for x
    x = 71,669,701,913,616/5,877,594
  6. Step 6: Final answer
    x = 12,193,714.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.