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Finding the Third Proportional to 429,742,828 and 920,748,784

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Solution

The third proportional to 429,742,828 and 920,748,784 is: 1,972,757,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742,828 : 920,748,784 = 920,748,784 : x
  2. Step 2: Convert to fraction form
    429,742,828/920,748,784 = 920,748,784/x
  3. Step 3: Cross multiply
    429,742,828x = 920,748,784 × 920,748,784
  4. Step 4: Simplify right side
    429,742,828x = 847,778,323,237,478,656
  5. Step 5: Solve for x
    x = 847,778,323,237,478,656/429,742,828
  6. Step 6: Final answer
    x = 1,972,757,351.61

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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.