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Finding the Third Proportional to 1,739,940 and 3,688,776

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Solution

The third proportional to 1,739,940 and 3,688,776 is: 7,820,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,940 : 3,688,776 = 3,688,776 : x
  2. Step 2: Convert to fraction form
    1,739,940/3,688,776 = 3,688,776/x
  3. Step 3: Cross multiply
    1,739,940x = 3,688,776 × 3,688,776
  4. Step 4: Simplify right side
    1,739,940x = 13,607,068,378,176
  5. Step 5: Solve for x
    x = 13,607,068,378,176/1,739,940
  6. Step 6: Final answer
    x = 7,820,423.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.