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Finding the Third Proportional to 2,164,798 and 4,676,480

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Solution

The third proportional to 2,164,798 and 4,676,480 is: 10,102,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,798 : 4,676,480 = 4,676,480 : x
  2. Step 2: Convert to fraction form
    2,164,798/4,676,480 = 4,676,480/x
  3. Step 3: Cross multiply
    2,164,798x = 4,676,480 × 4,676,480
  4. Step 4: Simplify right side
    2,164,798x = 21,869,465,190,400
  5. Step 5: Solve for x
    x = 21,869,465,190,400/2,164,798
  6. Step 6: Final answer
    x = 10,102,312.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.