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Finding the Third Proportional to 601,506,202 and 957,114,594

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Solution

The third proportional to 601,506,202 and 957,114,594 is: 1,522,957,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,202 : 957,114,594 = 957,114,594 : x
  2. Step 2: Convert to fraction form
    601,506,202/957,114,594 = 957,114,594/x
  3. Step 3: Cross multiply
    601,506,202x = 957,114,594 × 957,114,594
  4. Step 4: Simplify right side
    601,506,202x = 916,068,346,047,784,832
  5. Step 5: Solve for x
    x = 916,068,346,047,784,832/601,506,202
  6. Step 6: Final answer
    x = 1,522,957,440.84

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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.