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Finding the Third Proportional to 429,742,817 and 920,748,762

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Solution

The third proportional to 429,742,817 and 920,748,762 is: 1,972,757,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742,817 : 920,748,762 = 920,748,762 : x
  2. Step 2: Convert to fraction form
    429,742,817/920,748,762 = 920,748,762/x
  3. Step 3: Cross multiply
    429,742,817x = 920,748,762 × 920,748,762
  4. Step 4: Simplify right side
    429,742,817x = 847,778,282,724,532,608
  5. Step 5: Solve for x
    x = 847,778,282,724,532,608/429,742,817
  6. Step 6: Final answer
    x = 1,972,757,307.83

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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.