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Finding the Third Proportional to 1,077,765 and 1,569,262

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Solution

The third proportional to 1,077,765 and 1,569,262 is: 2,284,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,765 : 1,569,262 = 1,569,262 : x
  2. Step 2: Convert to fraction form
    1,077,765/1,569,262 = 1,569,262/x
  3. Step 3: Cross multiply
    1,077,765x = 1,569,262 × 1,569,262
  4. Step 4: Simplify right side
    1,077,765x = 2,462,583,224,644
  5. Step 5: Solve for x
    x = 2,462,583,224,644/1,077,765
  6. Step 6: Final answer
    x = 2,284,898.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.