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Finding the Third Proportional to 410,430,505 and 902,946,300

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Solution

The third proportional to 410,430,505 and 902,946,300 is: 1,986,480,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,430,505 : 902,946,300 = 902,946,300 : x
  2. Step 2: Convert to fraction form
    410,430,505/902,946,300 = 902,946,300/x
  3. Step 3: Cross multiply
    410,430,505x = 902,946,300 × 902,946,300
  4. Step 4: Simplify right side
    410,430,505x = 815,312,020,683,689,984
  5. Step 5: Solve for x
    x = 815,312,020,683,689,984/410,430,505
  6. Step 6: Final answer
    x = 1,986,480,075.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.