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Finding the Third Proportional to 697,674 and 1,506,844

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Solution

The third proportional to 697,674 and 1,506,844 is: 3,254,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,674 : 1,506,844 = 1,506,844 : x
  2. Step 2: Convert to fraction form
    697,674/1,506,844 = 1,506,844/x
  3. Step 3: Cross multiply
    697,674x = 1,506,844 × 1,506,844
  4. Step 4: Simplify right side
    697,674x = 2,270,578,840,336
  5. Step 5: Solve for x
    x = 2,270,578,840,336/697,674
  6. Step 6: Final answer
    x = 3,254,498.29

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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.