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Finding the Third Proportional to 601,506,240 and 957,114,660

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Solution

The third proportional to 601,506,240 and 957,114,660 is: 1,522,957,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506,240 : 957,114,660 = 957,114,660 : x
  2. Step 2: Convert to fraction form
    601,506,240/957,114,660 = 957,114,660/x
  3. Step 3: Cross multiply
    601,506,240x = 957,114,660 × 957,114,660
  4. Step 4: Simplify right side
    601,506,240x = 916,068,472,386,915,584
  5. Step 5: Solve for x
    x = 916,068,472,386,915,584/601,506,240
  6. Step 6: Final answer
    x = 1,522,957,554.67

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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.