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Finding the Third Proportional to 601,506,222 and 957,114,624

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Solution

The third proportional to 601,506,222 and 957,114,624 is: 1,522,957,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,222 : 957,114,624 = 957,114,624 : x
  2. Step 2: Convert to fraction form
    601,506,222/957,114,624 = 957,114,624/x
  3. Step 3: Cross multiply
    601,506,222x = 957,114,624 × 957,114,624
  4. Step 4: Simplify right side
    601,506,222x = 916,068,403,474,661,376
  5. Step 5: Solve for x
    x = 916,068,403,474,661,376/601,506,222
  6. Step 6: Final answer
    x = 1,522,957,485.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.