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Finding the Third Proportional to 977,653 and 1,431,479

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Solution

The third proportional to 977,653 and 1,431,479 is: 2,095,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,653 : 1,431,479 = 1,431,479 : x
  2. Step 2: Convert to fraction form
    977,653/1,431,479 = 1,431,479/x
  3. Step 3: Cross multiply
    977,653x = 1,431,479 × 1,431,479
  4. Step 4: Simplify right side
    977,653x = 2,049,132,127,441
  5. Step 5: Solve for x
    x = 2,049,132,127,441/977,653
  6. Step 6: Final answer
    x = 2,095,970.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.