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Finding the Third Proportional to 784,643 and 1,663,459

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Solution

The third proportional to 784,643 and 1,663,459 is: 3,526,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,643 : 1,663,459 = 1,663,459 : x
  2. Step 2: Convert to fraction form
    784,643/1,663,459 = 1,663,459/x
  3. Step 3: Cross multiply
    784,643x = 1,663,459 × 1,663,459
  4. Step 4: Simplify right side
    784,643x = 2,767,095,844,681
  5. Step 5: Solve for x
    x = 2,767,095,844,681/784,643
  6. Step 6: Final answer
    x = 3,526,566.66

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Why These Related Problems?

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