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Finding the Third Proportional to 3,097,935 and 4,461,898.50

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Solution

The third proportional to 3,097,935 and 4,461,898.50 is: 6,426,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,935 : 4,461,898.50 = 4,461,898.50 : x
  2. Step 2: Convert to fraction form
    3,097,935/4,461,898.50 = 4,461,898.50/x
  3. Step 3: Cross multiply
    3,097,935x = 4,461,898.50 × 4,461,898.50
  4. Step 4: Simplify right side
    3,097,935x = 19,908,538,224,302.25
  5. Step 5: Solve for x
    x = 19,908,538,224,302.25/3,097,935
  6. Step 6: Final answer
    x = 6,426,389.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.