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Finding the Third Proportional to 964,699 and 2,100,830

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Solution

The third proportional to 964,699 and 2,100,830 is: 4,574,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,699 : 2,100,830 = 2,100,830 : x
  2. Step 2: Convert to fraction form
    964,699/2,100,830 = 2,100,830/x
  3. Step 3: Cross multiply
    964,699x = 2,100,830 × 2,100,830
  4. Step 4: Simplify right side
    964,699x = 4,413,486,688,900
  5. Step 5: Solve for x
    x = 4,413,486,688,900/964,699
  6. Step 6: Final answer
    x = 4,574,988.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.