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Finding the Third Proportional to 985,068 and 1,497,465

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Solution

The third proportional to 985,068 and 1,497,465 is: 2,276,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,068 : 1,497,465 = 1,497,465 : x
  2. Step 2: Convert to fraction form
    985,068/1,497,465 = 1,497,465/x
  3. Step 3: Cross multiply
    985,068x = 1,497,465 × 1,497,465
  4. Step 4: Simplify right side
    985,068x = 2,242,401,426,225
  5. Step 5: Solve for x
    x = 2,242,401,426,225/985,068
  6. Step 6: Final answer
    x = 2,276,392.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.