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Finding the Third Proportional to 470,983,688 and 701,880,940

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Solution

The third proportional to 470,983,688 and 701,880,940 is: 1,045,974,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,983,688 : 701,880,940 = 701,880,940 : x
  2. Step 2: Convert to fraction form
    470,983,688/701,880,940 = 701,880,940/x
  3. Step 3: Cross multiply
    470,983,688x = 701,880,940 × 701,880,940
  4. Step 4: Simplify right side
    470,983,688x = 492,636,853,935,283,584
  5. Step 5: Solve for x
    x = 492,636,853,935,283,584/470,983,688
  6. Step 6: Final answer
    x = 1,045,974,343.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.