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Finding the Third Proportional to 4,660,284 and 6,296,335

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Solution

The third proportional to 4,660,284 and 6,296,335 is: 8,506,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,284 : 6,296,335 = 6,296,335 : x
  2. Step 2: Convert to fraction form
    4,660,284/6,296,335 = 6,296,335/x
  3. Step 3: Cross multiply
    4,660,284x = 6,296,335 × 6,296,335
  4. Step 4: Simplify right side
    4,660,284x = 39,643,834,432,225
  5. Step 5: Solve for x
    x = 39,643,834,432,225/4,660,284
  6. Step 6: Final answer
    x = 8,506,742.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.