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Finding the Third Proportional to 587,054,716 and 1,258,144,542

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Solution

The third proportional to 587,054,716 and 1,258,144,542 is: 2,696,388,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,054,716 : 1,258,144,542 = 1,258,144,542 : x
  2. Step 2: Convert to fraction form
    587,054,716/1,258,144,542 = 1,258,144,542/x
  3. Step 3: Cross multiply
    587,054,716x = 1,258,144,542 × 1,258,144,542
  4. Step 4: Simplify right side
    587,054,716x = 1,582,927,688,564,389,888
  5. Step 5: Solve for x
    x = 1,582,927,688,564,389,888/587,054,716
  6. Step 6: Final answer
    x = 2,696,388,676.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.