Finding the Third Proportional to 381,460,356 and 823,903,004
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Solution
The third proportional to 381,460,356 and 823,903,004 is: 1,779,519,547.24
Step by Step Solution
- Step 1: Write the proportion equation
381,460,356 : 823,903,004 = 823,903,004 : x - Step 2: Convert to fraction form
381,460,356/823,903,004 = 823,903,004/x - Step 3: Cross multiply
381,460,356x = 823,903,004 × 823,903,004 - Step 4: Simplify right side
381,460,356x = 678,816,160,000,224,000 - Step 5: Solve for x
x = 678,816,160,000,224,000/381,460,356 - Step 6: Final answer
x = 1,779,519,547.24
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.