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Finding the Third Proportional to 997,515 and 1,506,748.50

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Solution

The third proportional to 997,515 and 1,506,748.50 is: 2,275,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,515 : 1,506,748.50 = 1,506,748.50 : x
  2. Step 2: Convert to fraction form
    997,515/1,506,748.50 = 1,506,748.50/x
  3. Step 3: Cross multiply
    997,515x = 1,506,748.50 × 1,506,748.50
  4. Step 4: Simplify right side
    997,515x = 2,270,291,042,252.25
  5. Step 5: Solve for x
    x = 2,270,291,042,252.25/997,515
  6. Step 6: Final answer
    x = 2,275,946.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.