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Finding the Third Proportional to 788,368 and 1,217,548

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Solution

The third proportional to 788,368 and 1,217,548 is: 1,880,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,368 : 1,217,548 = 1,217,548 : x
  2. Step 2: Convert to fraction form
    788,368/1,217,548 = 1,217,548/x
  3. Step 3: Cross multiply
    788,368x = 1,217,548 × 1,217,548
  4. Step 4: Simplify right side
    788,368x = 1,482,423,132,304
  5. Step 5: Solve for x
    x = 1,482,423,132,304/788,368
  6. Step 6: Final answer
    x = 1,880,369.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.