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Finding the Third Proportional to 1,742,087,806 and 2,663,122,940

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Solution

The third proportional to 1,742,087,806 and 2,663,122,940 is: 4,071,105,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,087,806 : 2,663,122,940 = 2,663,122,940 : x
  2. Step 2: Convert to fraction form
    1,742,087,806/2,663,122,940 = 2,663,122,940/x
  3. Step 3: Cross multiply
    1,742,087,806x = 2,663,122,940 × 2,663,122,940
  4. Step 4: Simplify right side
    1,742,087,806x = 7,092,223,793,554,243,584
  5. Step 5: Solve for x
    x = 7,092,223,793,554,243,584/1,742,087,806
  6. Step 6: Final answer
    x = 4,071,105,812.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.