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Finding the Third Proportional to 1,346,416 and 2,902,784

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Solution

The third proportional to 1,346,416 and 2,902,784 is: 6,258,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,416 : 2,902,784 = 2,902,784 : x
  2. Step 2: Convert to fraction form
    1,346,416/2,902,784 = 2,902,784/x
  3. Step 3: Cross multiply
    1,346,416x = 2,902,784 × 2,902,784
  4. Step 4: Simplify right side
    1,346,416x = 8,426,154,950,656
  5. Step 5: Solve for x
    x = 8,426,154,950,656/1,346,416
  6. Step 6: Final answer
    x = 6,258,210.65

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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.