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Finding the Third Proportional to 1,384,605 and 2,990,646

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Solution

The third proportional to 1,384,605 and 2,990,646 is: 6,459,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,605 : 2,990,646 = 2,990,646 : x
  2. Step 2: Convert to fraction form
    1,384,605/2,990,646 = 2,990,646/x
  3. Step 3: Cross multiply
    1,384,605x = 2,990,646 × 2,990,646
  4. Step 4: Simplify right side
    1,384,605x = 8,943,963,497,316
  5. Step 5: Solve for x
    x = 8,943,963,497,316/1,384,605
  6. Step 6: Final answer
    x = 6,459,577.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.