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Finding the Third Proportional to 804,594 and 1,215,095

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Solution

The third proportional to 804,594 and 1,215,095 is: 1,835,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,594 : 1,215,095 = 1,215,095 : x
  2. Step 2: Convert to fraction form
    804,594/1,215,095 = 1,215,095/x
  3. Step 3: Cross multiply
    804,594x = 1,215,095 × 1,215,095
  4. Step 4: Simplify right side
    804,594x = 1,476,455,859,025
  5. Step 5: Solve for x
    x = 1,476,455,859,025/804,594
  6. Step 6: Final answer
    x = 1,835,032.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.