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Finding the Third Proportional to 242,698,596 and 534,870,984

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Solution

The third proportional to 242,698,596 and 534,870,984 is: 1,178,774,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,698,596 : 534,870,984 = 534,870,984 : x
  2. Step 2: Convert to fraction form
    242,698,596/534,870,984 = 534,870,984/x
  3. Step 3: Cross multiply
    242,698,596x = 534,870,984 × 534,870,984
  4. Step 4: Simplify right side
    242,698,596x = 286,086,969,525,128,256
  5. Step 5: Solve for x
    x = 286,086,969,525,128,256/242,698,596
  6. Step 6: Final answer
    x = 1,178,774,719.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.