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Finding the Third Proportional to 775,988 and 1,674,304

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Solution

The third proportional to 775,988 and 1,674,304 is: 3,612,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,988 : 1,674,304 = 1,674,304 : x
  2. Step 2: Convert to fraction form
    775,988/1,674,304 = 1,674,304/x
  3. Step 3: Cross multiply
    775,988x = 1,674,304 × 1,674,304
  4. Step 4: Simplify right side
    775,988x = 2,803,293,884,416
  5. Step 5: Solve for x
    x = 2,803,293,884,416/775,988
  6. Step 6: Final answer
    x = 3,612,547.98

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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.