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Finding the Third Proportional to 298,875,411 and 616,849,947

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Solution

The third proportional to 298,875,411 and 616,849,947 is: 1,273,118,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,875,411 : 616,849,947 = 616,849,947 : x
  2. Step 2: Convert to fraction form
    298,875,411/616,849,947 = 616,849,947/x
  3. Step 3: Cross multiply
    298,875,411x = 616,849,947 × 616,849,947
  4. Step 4: Simplify right side
    298,875,411x = 380,503,857,113,902,784
  5. Step 5: Solve for x
    x = 380,503,857,113,902,784/298,875,411
  6. Step 6: Final answer
    x = 1,273,118,641.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.