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Finding the Third Proportional to 592,673,720 and 1,317,859,920

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Solution

The third proportional to 592,673,720 and 1,317,859,920 is: 2,930,372,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,673,720 : 1,317,859,920 = 1,317,859,920 : x
  2. Step 2: Convert to fraction form
    592,673,720/1,317,859,920 = 1,317,859,920/x
  3. Step 3: Cross multiply
    592,673,720x = 1,317,859,920 × 1,317,859,920
  4. Step 4: Simplify right side
    592,673,720x = 1,736,754,768,742,406,400
  5. Step 5: Solve for x
    x = 1,736,754,768,742,406,400/592,673,720
  6. Step 6: Final answer
    x = 2,930,372,496.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.