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Finding the Third Proportional to 758,032 and 1,594,688

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Solution

The third proportional to 758,032 and 1,594,688 is: 3,354,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,032 : 1,594,688 = 1,594,688 : x
  2. Step 2: Convert to fraction form
    758,032/1,594,688 = 1,594,688/x
  3. Step 3: Cross multiply
    758,032x = 1,594,688 × 1,594,688
  4. Step 4: Simplify right side
    758,032x = 2,543,029,817,344
  5. Step 5: Solve for x
    x = 2,543,029,817,344/758,032
  6. Step 6: Final answer
    x = 3,354,778.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.