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Finding the Third Proportional to 1,478,547 and 3,177,927

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Solution

The third proportional to 1,478,547 and 3,177,927 is: 6,830,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,547 : 3,177,927 = 3,177,927 : x
  2. Step 2: Convert to fraction form
    1,478,547/3,177,927 = 3,177,927/x
  3. Step 3: Cross multiply
    1,478,547x = 3,177,927 × 3,177,927
  4. Step 4: Simplify right side
    1,478,547x = 10,099,220,017,329
  5. Step 5: Solve for x
    x = 10,099,220,017,329/1,478,547
  6. Step 6: Final answer
    x = 6,830,503.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.