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Finding the Third Proportional to 1,029,124 and 1,590,342

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Solution

The third proportional to 1,029,124 and 1,590,342 is: 2,457,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,124 : 1,590,342 = 1,590,342 : x
  2. Step 2: Convert to fraction form
    1,029,124/1,590,342 = 1,590,342/x
  3. Step 3: Cross multiply
    1,029,124x = 1,590,342 × 1,590,342
  4. Step 4: Simplify right side
    1,029,124x = 2,529,187,676,964
  5. Step 5: Solve for x
    x = 2,529,187,676,964/1,029,124
  6. Step 6: Final answer
    x = 2,457,612.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.