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Finding the Third Proportional to 485,952 and 1,051,776

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Solution

The third proportional to 485,952 and 1,051,776 is: 2,276,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,952 : 1,051,776 = 1,051,776 : x
  2. Step 2: Convert to fraction form
    485,952/1,051,776 = 1,051,776/x
  3. Step 3: Cross multiply
    485,952x = 1,051,776 × 1,051,776
  4. Step 4: Simplify right side
    485,952x = 1,106,232,754,176
  5. Step 5: Solve for x
    x = 1,106,232,754,176/485,952
  6. Step 6: Final answer
    x = 2,276,423.91

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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.