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Finding the Third Proportional to 917,049 and 2,157,776

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Solution

The third proportional to 917,049 and 2,157,776 is: 5,077,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,049 : 2,157,776 = 2,157,776 : x
  2. Step 2: Convert to fraction form
    917,049/2,157,776 = 2,157,776/x
  3. Step 3: Cross multiply
    917,049x = 2,157,776 × 2,157,776
  4. Step 4: Simplify right side
    917,049x = 4,655,997,266,176
  5. Step 5: Solve for x
    x = 4,655,997,266,176/917,049
  6. Step 6: Final answer
    x = 5,077,152.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.