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Finding the Third Proportional to 4,604,607 and 6,440,836.50

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Solution

The third proportional to 4,604,607 and 6,440,836.50 is: 9,009,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604,607 : 6,440,836.50 = 6,440,836.50 : x
  2. Step 2: Convert to fraction form
    4,604,607/6,440,836.50 = 6,440,836.50/x
  3. Step 3: Cross multiply
    4,604,607x = 6,440,836.50 × 6,440,836.50
  4. Step 4: Simplify right side
    4,604,607x = 41,484,374,819,732.25
  5. Step 5: Solve for x
    x = 41,484,374,819,732.25/4,604,607
  6. Step 6: Final answer
    x = 9,009,319.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.