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Finding the Third Proportional to 802,386 and 1,748,709

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Solution

The third proportional to 802,386 and 1,748,709 is: 3,811,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,386 : 1,748,709 = 1,748,709 : x
  2. Step 2: Convert to fraction form
    802,386/1,748,709 = 1,748,709/x
  3. Step 3: Cross multiply
    802,386x = 1,748,709 × 1,748,709
  4. Step 4: Simplify right side
    802,386x = 3,057,983,166,681
  5. Step 5: Solve for x
    x = 3,057,983,166,681/802,386
  6. Step 6: Final answer
    x = 3,811,112.32

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Why These Related Problems?

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