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Finding the Third Proportional to 856,658 and 2,029,470

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Solution

The third proportional to 856,658 and 2,029,470 is: 4,807,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,658 : 2,029,470 = 2,029,470 : x
  2. Step 2: Convert to fraction form
    856,658/2,029,470 = 2,029,470/x
  3. Step 3: Cross multiply
    856,658x = 2,029,470 × 2,029,470
  4. Step 4: Simplify right side
    856,658x = 4,118,748,480,900
  5. Step 5: Solve for x
    x = 4,118,748,480,900/856,658
  6. Step 6: Final answer
    x = 4,807,926.24

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.