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Finding the Third Proportional to 708,417,515 and 1,111,197,356

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Solution

The third proportional to 708,417,515 and 1,111,197,356 is: 1,742,982,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,417,515 : 1,111,197,356 = 1,111,197,356 : x
  2. Step 2: Convert to fraction form
    708,417,515/1,111,197,356 = 1,111,197,356/x
  3. Step 3: Cross multiply
    708,417,515x = 1,111,197,356 × 1,111,197,356
  4. Step 4: Simplify right side
    708,417,515x = 1,234,759,563,981,390,848
  5. Step 5: Solve for x
    x = 1,234,759,563,981,390,848/708,417,515
  6. Step 6: Final answer
    x = 1,742,982,828.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.