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Finding the Third Proportional to 4,602,582 and 6,903,873

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Solution

The third proportional to 4,602,582 and 6,903,873 is: 10,355,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,582 : 6,903,873 = 6,903,873 : x
  2. Step 2: Convert to fraction form
    4,602,582/6,903,873 = 6,903,873/x
  3. Step 3: Cross multiply
    4,602,582x = 6,903,873 × 6,903,873
  4. Step 4: Simplify right side
    4,602,582x = 47,663,462,400,129
  5. Step 5: Solve for x
    x = 47,663,462,400,129/4,602,582
  6. Step 6: Final answer
    x = 10,355,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.