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Finding the Third Proportional to 774,382 and 1,173,246

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Solution

The third proportional to 774,382 and 1,173,246 is: 1,777,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,382 : 1,173,246 = 1,173,246 : x
  2. Step 2: Convert to fraction form
    774,382/1,173,246 = 1,173,246/x
  3. Step 3: Cross multiply
    774,382x = 1,173,246 × 1,173,246
  4. Step 4: Simplify right side
    774,382x = 1,376,506,176,516
  5. Step 5: Solve for x
    x = 1,376,506,176,516/774,382
  6. Step 6: Final answer
    x = 1,777,554.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.