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Finding the Third Proportional to 605,742,658 and 1,317,617,696

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Solution

The third proportional to 605,742,658 and 1,317,617,696 is: 2,866,095,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,658 : 1,317,617,696 = 1,317,617,696 : x
  2. Step 2: Convert to fraction form
    605,742,658/1,317,617,696 = 1,317,617,696/x
  3. Step 3: Cross multiply
    605,742,658x = 1,317,617,696 × 1,317,617,696
  4. Step 4: Simplify right side
    605,742,658x = 1,736,116,392,812,348,416
  5. Step 5: Solve for x
    x = 1,736,116,392,812,348,416/605,742,658
  6. Step 6: Final answer
    x = 2,866,095,642.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.