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Finding the Third Proportional to 730,774,944 and 1,724,498,082

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Solution

The third proportional to 730,774,944 and 1,724,498,082 is: 4,069,506,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774,944 : 1,724,498,082 = 1,724,498,082 : x
  2. Step 2: Convert to fraction form
    730,774,944/1,724,498,082 = 1,724,498,082/x
  3. Step 3: Cross multiply
    730,774,944x = 1,724,498,082 × 1,724,498,082
  4. Step 4: Simplify right side
    730,774,944x = 2,973,893,634,821,678,592
  5. Step 5: Solve for x
    x = 2,973,893,634,821,678,592/730,774,944
  6. Step 6: Final answer
    x = 4,069,506,842.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.