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Finding the Third Proportional to 1,829,430 and 2,678,535

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Solution

The third proportional to 1,829,430 and 2,678,535 is: 3,921,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,430 : 2,678,535 = 2,678,535 : x
  2. Step 2: Convert to fraction form
    1,829,430/2,678,535 = 2,678,535/x
  3. Step 3: Cross multiply
    1,829,430x = 2,678,535 × 2,678,535
  4. Step 4: Simplify right side
    1,829,430x = 7,174,549,746,225
  5. Step 5: Solve for x
    x = 7,174,549,746,225/1,829,430
  6. Step 6: Final answer
    x = 3,921,740.51

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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.