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Finding the Third Proportional to 1,119,114 and 1,688,023

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Solution

The third proportional to 1,119,114 and 1,688,023 is: 2,546,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,114 : 1,688,023 = 1,688,023 : x
  2. Step 2: Convert to fraction form
    1,119,114/1,688,023 = 1,688,023/x
  3. Step 3: Cross multiply
    1,119,114x = 1,688,023 × 1,688,023
  4. Step 4: Simplify right side
    1,119,114x = 2,849,421,648,529
  5. Step 5: Solve for x
    x = 2,849,421,648,529/1,119,114
  6. Step 6: Final answer
    x = 2,546,140.65

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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.