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Finding the Third Proportional to 601,461 and 1,252,681.88

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Solution

The third proportional to 601,461 and 1,252,681.88 is: 2,609,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,461 : 1,252,681.88 = 1,252,681.88 : x
  2. Step 2: Convert to fraction form
    601,461/1,252,681.88 = 1,252,681.88/x
  3. Step 3: Cross multiply
    601,461x = 1,252,681.88 × 1,252,681.88
  4. Step 4: Simplify right side
    601,461x = 1,569,211,879,953.52
  5. Step 5: Solve for x
    x = 1,569,211,879,953.52/601,461
  6. Step 6: Final answer
    x = 2,609,000.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.